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Finding the Fourth Proportional to 1,772.33, 2,658.81 and 731.76

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Solution

The fourth proportional to 1,772.33, 2,658.81 and 731.76 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.33 : 2,658.81 = 731.76 : x
  2. Step 2: Convert to fraction form
    1,772.33/2,658.81 = 731.76/x
  3. Step 3: Cross multiply
    1,772.33x = 2,658.81 × 731.76
  4. Step 4: Simplify right side
    1,772.33x = 1,945,614.42
  5. Step 5: Solve for x
    x = 1,945,614.42/1,772.33
  6. Step 6: Final answer
    x = 1,097.78

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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.