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Finding the Fourth Proportional to 892.14, 1,231.17 and 519.15

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Solution

The fourth proportional to 892.14, 1,231.17 and 519.15 is: 716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,231.17 = 519.15 : x
  2. Step 2: Convert to fraction form
    892.14/1,231.17 = 519.15/x
  3. Step 3: Cross multiply
    892.14x = 1,231.17 × 519.15
  4. Step 4: Simplify right side
    892.14x = 639,161.91
  5. Step 5: Solve for x
    x = 639,161.91/892.14
  6. Step 6: Final answer
    x = 716.44

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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.