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Finding the Fourth Proportional to 629.52, 865.37 and 562.42

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Solution

The fourth proportional to 629.52, 865.37 and 562.42 is: 773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 865.37 = 562.42 : x
  2. Step 2: Convert to fraction form
    629.52/865.37 = 562.42/x
  3. Step 3: Cross multiply
    629.52x = 865.37 × 562.42
  4. Step 4: Simplify right side
    629.52x = 486,701.40
  5. Step 5: Solve for x
    x = 486,701.40/629.52
  6. Step 6: Final answer
    x = 773.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.