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Finding the Fourth Proportional to 461.23, 635.92 and 387.38

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Solution

The fourth proportional to 461.23, 635.92 and 387.38 is: 534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.23 : 635.92 = 387.38 : x
  2. Step 2: Convert to fraction form
    461.23/635.92 = 387.38/x
  3. Step 3: Cross multiply
    461.23x = 635.92 × 387.38
  4. Step 4: Simplify right side
    461.23x = 246,343.31
  5. Step 5: Solve for x
    x = 246,343.31/461.23
  6. Step 6: Final answer
    x = 534.10

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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.