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Finding the Fourth Proportional to 461.86, 637.14 and 284.88

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Solution

The fourth proportional to 461.86, 637.14 and 284.88 is: 392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.86 : 637.14 = 284.88 : x
  2. Step 2: Convert to fraction form
    461.86/637.14 = 284.88/x
  3. Step 3: Cross multiply
    461.86x = 637.14 × 284.88
  4. Step 4: Simplify right side
    461.86x = 181,508.44
  5. Step 5: Solve for x
    x = 181,508.44/461.86
  6. Step 6: Final answer
    x = 392.99

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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.