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Finding the Fourth Proportional to 892.43, 1,231.15 and 519.31

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Solution

The fourth proportional to 892.43, 1,231.15 and 519.31 is: 716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.43 : 1,231.15 = 519.31 : x
  2. Step 2: Convert to fraction form
    892.43/1,231.15 = 519.31/x
  3. Step 3: Cross multiply
    892.43x = 1,231.15 × 519.31
  4. Step 4: Simplify right side
    892.43x = 639,339.75
  5. Step 5: Solve for x
    x = 639,339.75/892.43
  6. Step 6: Final answer
    x = 716.41

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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.