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Finding the Fourth Proportional to 734.64, 1,101.96 and 691.85

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Solution

The fourth proportional to 734.64, 1,101.96 and 691.85 is: 1,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.64 : 1,101.96 = 691.85 : x
  2. Step 2: Convert to fraction form
    734.64/1,101.96 = 691.85/x
  3. Step 3: Cross multiply
    734.64x = 1,101.96 × 691.85
  4. Step 4: Simplify right side
    734.64x = 762,382.06
  5. Step 5: Solve for x
    x = 762,382.06/734.64
  6. Step 6: Final answer
    x = 1,037.76

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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.