In this paper, a hybrid of Jarratt and Particle Swarm Optimization (PSO) has been proposed to solve nonlinear system of equations and optimization problems efficiently. Jarratt fourth order method has been combined with PSO to accelerate the process of obtaining the solution. The hybrid approach merges the exploratory and stochastic features of PSO with the exact and predictable Jarratt technique. The proposed technique put in work to optimize the work in power flow analysis of IEEE 5, 6 and 9-bus systems. We aim to simultaneously minimize the losses in the power system by finding the best values of voltage angle and magnitude at each bus in power system analysis. The performance of hybrid method has been compared with the previous schemes. The comparison shows that the proposed method is doing a way better job in minimizing the loses in power system as compared to the previous methods. A comparison has been made which show the numerical results for hybrid approach is better as compared to PSO and Jarratt method.