Peter Houston's side looked set to clinch full SPL points at home for the first time in 11 games thanks to Gary Mackay-Steven's fine second-half strike which was all that separated the sides until the Highlanders struck on 82 minutes through Richard Brittain's brilliant equaliser.
It was a fair share of the points all-round but a better point for the second-bottom visitors in their efforts to stay up although United's consolation was the fact they still moved up a place into sixth on goal difference.
Referee Iain Brines gave the match the go-ahead as the hosts looked to bounce back from their 4-0 hammering at the hands of Celtic on Tuesday.
Barry Douglas whipped over a free-kick from the right for Gavin Gunning to rise unchallenged and head into the side-netting.
County replied six minutes later when midfielder Rocco Quinn picked up possession 25 yards from goal and unleashed a left-foot shot which Radoslaw Cierzniak was relieved to see clear his near post.
Then, on 14 minutes, United put together a flowing move which was started by Keith Watson who released Stuart Armstrong down the right.
Ivan Sproule, given the chance, wasted no time in crossing into the box but United's Sean Dillon got across in time to clear the danger.
A few minutes later, Mackay-Steven had a half-chance when Douglas' corner was only partially cleared but the winger's right-foot shot went narrowly wide of the target.
However, their pressure paid off after 52 minutes when Mackay-Steven made it 1-0 with an impressive curling left-foot shot which sailed outwith the reach of Dingwall keeper Mark Brown.
Skipper Jon Daly released Johnny Russell and he laid the ball back for Mackay-Steven to finish in style from 20 yards.
But on 82 minutes Brittain popped up to make it 1-1 with a spectacular strike.
Sproule ran down the right without being challenged and picked his moment to cut the ball back to Brittain.
The midfielder set himself up before produced an unstoppable strike which sped high into Cierzniak's top corner.