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Finding the Fourth Proportional to 627.49, 865.98 and 417.31

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Solution

The fourth proportional to 627.49, 865.98 and 417.31 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.49 : 865.98 = 417.31 : x
  2. Step 2: Convert to fraction form
    627.49/865.98 = 417.31/x
  3. Step 3: Cross multiply
    627.49x = 865.98 × 417.31
  4. Step 4: Simplify right side
    627.49x = 361,382.11
  5. Step 5: Solve for x
    x = 361,382.11/627.49
  6. Step 6: Final answer
    x = 575.92

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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.