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Finding the Fourth Proportional to 502.20, 748.04 and 478.51

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Solution

The fourth proportional to 502.20, 748.04 and 478.51 is: 712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.20 : 748.04 = 478.51 : x
  2. Step 2: Convert to fraction form
    502.20/748.04 = 478.51/x
  3. Step 3: Cross multiply
    502.20x = 748.04 × 478.51
  4. Step 4: Simplify right side
    502.20x = 357,940.36
  5. Step 5: Solve for x
    x = 357,940.36/502.20
  6. Step 6: Final answer
    x = 712.74

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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.