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Finding the Fourth Proportional to 892.91, 1,232.16 and 519.90

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Solution

The fourth proportional to 892.91, 1,232.16 and 519.90 is: 717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.91 : 1,232.16 = 519.90 : x
  2. Step 2: Convert to fraction form
    892.91/1,232.16 = 519.90/x
  3. Step 3: Cross multiply
    892.91x = 1,232.16 × 519.90
  4. Step 4: Simplify right side
    892.91x = 640,599.98
  5. Step 5: Solve for x
    x = 640,599.98/892.91
  6. Step 6: Final answer
    x = 717.43

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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.