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Finding the Fourth Proportional to 892.40, 1,231.56 and 519.20

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Solution

The fourth proportional to 892.40, 1,231.56 and 519.20 is: 716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.40 : 1,231.56 = 519.20 : x
  2. Step 2: Convert to fraction form
    892.40/1,231.56 = 519.20/x
  3. Step 3: Cross multiply
    892.40x = 1,231.56 × 519.20
  4. Step 4: Simplify right side
    892.40x = 639,425.95
  5. Step 5: Solve for x
    x = 639,425.95/892.40
  6. Step 6: Final answer
    x = 716.52

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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.