That brought up Rosario, who raked a hit that rolled to the wall in left field, sending home the key run.
Charlie Blackmon (3-for-4, two RBI) later added an RBI double and Ryan Wheeler capped the uprising with a pinch-hit, two-run single as the Rockies pulled away for a win in the first of a four-game set.
Chad Bettis (1-3) earned the decision for Colorado.
Matt Carpenter and David Freese each provided an RBI for the Cardinals, who remained tied with Pittsburgh atop the National League Central despite the loss.
Swim Week Miami Beach 2014 [PHOTOS]