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Finding the Fourth Proportional to 1,229.11, 1,842.32 and 534.97

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Solution

The fourth proportional to 1,229.11, 1,842.32 and 534.97 is: 801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.11 : 1,842.32 = 534.97 : x
  2. Step 2: Convert to fraction form
    1,229.11/1,842.32 = 534.97/x
  3. Step 3: Cross multiply
    1,229.11x = 1,842.32 × 534.97
  4. Step 4: Simplify right side
    1,229.11x = 985,583.26
  5. Step 5: Solve for x
    x = 985,583.26/1,229.11
  6. Step 6: Final answer
    x = 801.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.