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Finding the Fourth Proportional to 892.74, 1,232.16 and 519.81

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Solution

The fourth proportional to 892.74, 1,232.16 and 519.81 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.74 : 1,232.16 = 519.81 : x
  2. Step 2: Convert to fraction form
    892.74/1,232.16 = 519.81/x
  3. Step 3: Cross multiply
    892.74x = 1,232.16 × 519.81
  4. Step 4: Simplify right side
    892.74x = 640,489.09
  5. Step 5: Solve for x
    x = 640,489.09/892.74
  6. Step 6: Final answer
    x = 717.44

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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.