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Finding the Fourth Proportional to 749.34, 1,121.90 and 691.92

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Solution

The fourth proportional to 749.34, 1,121.90 and 691.92 is: 1,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.34 : 1,121.90 = 691.92 : x
  2. Step 2: Convert to fraction form
    749.34/1,121.90 = 691.92/x
  3. Step 3: Cross multiply
    749.34x = 1,121.90 × 691.92
  4. Step 4: Simplify right side
    749.34x = 776,265.05
  5. Step 5: Solve for x
    x = 776,265.05/749.34
  6. Step 6: Final answer
    x = 1,035.93

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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.