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Finding the Fourth Proportional to 627.52, 865.71 and 406.50

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Solution

The fourth proportional to 627.52, 865.71 and 406.50 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.52 : 865.71 = 406.50 : x
  2. Step 2: Convert to fraction form
    627.52/865.71 = 406.50/x
  3. Step 3: Cross multiply
    627.52x = 865.71 × 406.50
  4. Step 4: Simplify right side
    627.52x = 351,911.12
  5. Step 5: Solve for x
    x = 351,911.12/627.52
  6. Step 6: Final answer
    x = 560.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.