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Finding the Fourth Proportional to 478.76, 721.78 and 452.12

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Solution

The fourth proportional to 478.76, 721.78 and 452.12 is: 681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.76 : 721.78 = 452.12 : x
  2. Step 2: Convert to fraction form
    478.76/721.78 = 452.12/x
  3. Step 3: Cross multiply
    478.76x = 721.78 × 452.12
  4. Step 4: Simplify right side
    478.76x = 326,331.17
  5. Step 5: Solve for x
    x = 326,331.17/478.76
  6. Step 6: Final answer
    x = 681.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.