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Finding the Fourth Proportional to 892.31, 1,231.38 and 519.42

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Solution

The fourth proportional to 892.31, 1,231.38 and 519.42 is: 716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.31 : 1,231.38 = 519.42 : x
  2. Step 2: Convert to fraction form
    892.31/1,231.38 = 519.42/x
  3. Step 3: Cross multiply
    892.31x = 1,231.38 × 519.42
  4. Step 4: Simplify right side
    892.31x = 639,600.80
  5. Step 5: Solve for x
    x = 639,600.80/892.31
  6. Step 6: Final answer
    x = 716.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.