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Finding the Fourth Proportional to 1,105.47, 1,655.85 and 757.17

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Solution

The fourth proportional to 1,105.47, 1,655.85 and 757.17 is: 1,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.47 : 1,655.85 = 757.17 : x
  2. Step 2: Convert to fraction form
    1,105.47/1,655.85 = 757.17/x
  3. Step 3: Cross multiply
    1,105.47x = 1,655.85 × 757.17
  4. Step 4: Simplify right side
    1,105.47x = 1,253,759.94
  5. Step 5: Solve for x
    x = 1,253,759.94/1,105.47
  6. Step 6: Final answer
    x = 1,134.14

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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.