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Finding the Fourth Proportional to 927.18, 1,272.69 and 819.92

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Solution

The fourth proportional to 927.18, 1,272.69 and 819.92 is: 1,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.18 : 1,272.69 = 819.92 : x
  2. Step 2: Convert to fraction form
    927.18/1,272.69 = 819.92/x
  3. Step 3: Cross multiply
    927.18x = 1,272.69 × 819.92
  4. Step 4: Simplify right side
    927.18x = 1,043,502.85
  5. Step 5: Solve for x
    x = 1,043,502.85/927.18
  6. Step 6: Final answer
    x = 1,125.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.