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Finding the Fourth Proportional to 461.71, 637.20 and 284.71

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Solution

The fourth proportional to 461.71, 637.20 and 284.71 is: 392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.71 : 637.20 = 284.71 : x
  2. Step 2: Convert to fraction form
    461.71/637.20 = 284.71/x
  3. Step 3: Cross multiply
    461.71x = 637.20 × 284.71
  4. Step 4: Simplify right side
    461.71x = 181,417.21
  5. Step 5: Solve for x
    x = 181,417.21/461.71
  6. Step 6: Final answer
    x = 392.92

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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.