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Finding the Fourth Proportional to 919.38, 1,378.26 and 789.51

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Solution

The fourth proportional to 919.38, 1,378.26 and 789.51 is: 1,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.38 : 1,378.26 = 789.51 : x
  2. Step 2: Convert to fraction form
    919.38/1,378.26 = 789.51/x
  3. Step 3: Cross multiply
    919.38x = 1,378.26 × 789.51
  4. Step 4: Simplify right side
    919.38x = 1,088,150.05
  5. Step 5: Solve for x
    x = 1,088,150.05/919.38
  6. Step 6: Final answer
    x = 1,183.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.