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Finding the Fourth Proportional to 461.28, 637.20 and 458.04

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Solution

The fourth proportional to 461.28, 637.20 and 458.04 is: 632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.28 : 637.20 = 458.04 : x
  2. Step 2: Convert to fraction form
    461.28/637.20 = 458.04/x
  3. Step 3: Cross multiply
    461.28x = 637.20 × 458.04
  4. Step 4: Simplify right side
    461.28x = 291,863.09
  5. Step 5: Solve for x
    x = 291,863.09/461.28
  6. Step 6: Final answer
    x = 632.72

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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.