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Finding the Fourth Proportional to 819.82, 1,231.05 and 542.60

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Solution

The fourth proportional to 819.82, 1,231.05 and 542.60 is: 814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.82 : 1,231.05 = 542.60 : x
  2. Step 2: Convert to fraction form
    819.82/1,231.05 = 542.60/x
  3. Step 3: Cross multiply
    819.82x = 1,231.05 × 542.60
  4. Step 4: Simplify right side
    819.82x = 667,965.17
  5. Step 5: Solve for x
    x = 667,965.17/819.82
  6. Step 6: Final answer
    x = 814.77

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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.