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Finding the Fourth Proportional to 892.62, 1,231.20 and 800.28

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Solution

The fourth proportional to 892.62, 1,231.20 and 800.28 is: 1,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.62 : 1,231.20 = 800.28 : x
  2. Step 2: Convert to fraction form
    892.62/1,231.20 = 800.28/x
  3. Step 3: Cross multiply
    892.62x = 1,231.20 × 800.28
  4. Step 4: Simplify right side
    892.62x = 985,304.74
  5. Step 5: Solve for x
    x = 985,304.74/892.62
  6. Step 6: Final answer
    x = 1,103.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.