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Finding the Fourth Proportional to 461.90, 638.08 and 409.52

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Solution

The fourth proportional to 461.90, 638.08 and 409.52 is: 565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 638.08 = 409.52 : x
  2. Step 2: Convert to fraction form
    461.90/638.08 = 409.52/x
  3. Step 3: Cross multiply
    461.90x = 638.08 × 409.52
  4. Step 4: Simplify right side
    461.90x = 261,306.52
  5. Step 5: Solve for x
    x = 261,306.52/461.90
  6. Step 6: Final answer
    x = 565.72

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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.