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Finding the Fourth Proportional to 1,099.44, 1,517.92 and 767.68

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Solution

The fourth proportional to 1,099.44, 1,517.92 and 767.68 is: 1,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.44 : 1,517.92 = 767.68 : x
  2. Step 2: Convert to fraction form
    1,099.44/1,517.92 = 767.68/x
  3. Step 3: Cross multiply
    1,099.44x = 1,517.92 × 767.68
  4. Step 4: Simplify right side
    1,099.44x = 1,165,276.83
  5. Step 5: Solve for x
    x = 1,165,276.83/1,099.44
  6. Step 6: Final answer
    x = 1,059.88

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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.