You also need to update the missile's course using updates on the plane's velocity changes - so again, you need even greater accuracy on the radar.
Finally, because it's all a lot more nebulous, it is easier for the plane to take evasive action. It's generally a lot easier to detect a radar / missile launch than it is to detect the airplane. With radar countermeasures in place, the SAM radar really has an uphill struggle to overcome.
I'm not saying it's not doable (though not too long ago I remember reading that these radars are just not accurate enough to guide a missile), merely that these dry numbers don't necessarily convey the full picture.