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Finding the Fourth Proportional to 781.28, 1,169.17 and 617.25

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Solution

The fourth proportional to 781.28, 1,169.17 and 617.25 is: 923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.28 : 1,169.17 = 617.25 : x
  2. Step 2: Convert to fraction form
    781.28/1,169.17 = 617.25/x
  3. Step 3: Cross multiply
    781.28x = 1,169.17 × 617.25
  4. Step 4: Simplify right side
    781.28x = 721,668.64
  5. Step 5: Solve for x
    x = 721,668.64/781.28
  6. Step 6: Final answer
    x = 923.71

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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.