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Finding the Fourth Proportional to 461.52, 637.20 and 314.32

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Solution

The fourth proportional to 461.52, 637.20 and 314.32 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 637.20 = 314.32 : x
  2. Step 2: Convert to fraction form
    461.52/637.20 = 314.32/x
  3. Step 3: Cross multiply
    461.52x = 637.20 × 314.32
  4. Step 4: Simplify right side
    461.52x = 200,284.70
  5. Step 5: Solve for x
    x = 200,284.70/461.52
  6. Step 6: Final answer
    x = 433.97

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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.