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Finding the Fourth Proportional to 478.38, 712.98 and 461.76

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Solution

The fourth proportional to 478.38, 712.98 and 461.76 is: 688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.38 : 712.98 = 461.76 : x
  2. Step 2: Convert to fraction form
    478.38/712.98 = 461.76/x
  3. Step 3: Cross multiply
    478.38x = 712.98 × 461.76
  4. Step 4: Simplify right side
    478.38x = 329,225.64
  5. Step 5: Solve for x
    x = 329,225.64/478.38
  6. Step 6: Final answer
    x = 688.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.