ATLANTA — A man who shot to death an Alzheimer’s patient he feared was trying to break into his house will not be charged with a crime, a Georgia prosecutor said Friday.

“After review of facts and the relevant law, the district attorney’s office will not pursue charges against Joe Hendrix arising out of the tragic shooting death of Ronald Westbrook,” Herbert E. Franklin, the district attorney for the Lookout Mountain Judicial Circuit, said in a statement.

Mr. Hendrix, 35, had been under scrutiny since he fired up to four shots at Mr. Westbrook, 72, a retired Air Force officer who had wandered away from his home and appeared three miles away at the house Mr. Hendrix was renting.

After Mr. Westbrook tried around 4 a.m. on Nov. 27 to open the door of the house on a cul-de-sac in Chickamauga, Ga., Mr. Hendrix’s fiancée dialed 911, and a sheriff’s deputy was dispatched.