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Finding the Fourth Proportional to 966.97, 1,449.33 and 820.27

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Solution

The fourth proportional to 966.97, 1,449.33 and 820.27 is: 1,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.97 : 1,449.33 = 820.27 : x
  2. Step 2: Convert to fraction form
    966.97/1,449.33 = 820.27/x
  3. Step 3: Cross multiply
    966.97x = 1,449.33 × 820.27
  4. Step 4: Simplify right side
    966.97x = 1,188,841.92
  5. Step 5: Solve for x
    x = 1,188,841.92/966.97
  6. Step 6: Final answer
    x = 1,229.45

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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.