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Finding the Fourth Proportional to 538.43, 807.92 and 408.39

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Solution

The fourth proportional to 538.43, 807.92 and 408.39 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.43 : 807.92 = 408.39 : x
  2. Step 2: Convert to fraction form
    538.43/807.92 = 408.39/x
  3. Step 3: Cross multiply
    538.43x = 807.92 × 408.39
  4. Step 4: Simplify right side
    538.43x = 329,949.75
  5. Step 5: Solve for x
    x = 329,949.75/538.43
  6. Step 6: Final answer
    x = 612.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.