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Finding the Fourth Proportional to 892.28, 1,231.28 and 519.26

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Solution

The fourth proportional to 892.28, 1,231.28 and 519.26 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.28 : 1,231.28 = 519.26 : x
  2. Step 2: Convert to fraction form
    892.28/1,231.28 = 519.26/x
  3. Step 3: Cross multiply
    892.28x = 1,231.28 × 519.26
  4. Step 4: Simplify right side
    892.28x = 639,354.45
  5. Step 5: Solve for x
    x = 639,354.45/892.28
  6. Step 6: Final answer
    x = 716.54

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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.