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Finding the Fourth Proportional to 1,177.38, 1,766.70 and 691.38

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Solution

The fourth proportional to 1,177.38, 1,766.70 and 691.38 is: 1,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.38 : 1,766.70 = 691.38 : x
  2. Step 2: Convert to fraction form
    1,177.38/1,766.70 = 691.38/x
  3. Step 3: Cross multiply
    1,177.38x = 1,766.70 × 691.38
  4. Step 4: Simplify right side
    1,177.38x = 1,221,461.05
  5. Step 5: Solve for x
    x = 1,221,461.05/1,177.38
  6. Step 6: Final answer
    x = 1,037.44

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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.