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Finding the Fourth Proportional to 773.52, 1,155.17 and 731.40

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Solution

The fourth proportional to 773.52, 1,155.17 and 731.40 is: 1,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,155.17 = 731.40 : x
  2. Step 2: Convert to fraction form
    773.52/1,155.17 = 731.40/x
  3. Step 3: Cross multiply
    773.52x = 1,155.17 × 731.40
  4. Step 4: Simplify right side
    773.52x = 844,887.68
  5. Step 5: Solve for x
    x = 844,887.68/773.52
  6. Step 6: Final answer
    x = 1,092.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.