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Finding the Fourth Proportional to 1,179.78, 1,770.03 and 691.80

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Solution

The fourth proportional to 1,179.78, 1,770.03 and 691.80 is: 1,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.78 : 1,770.03 = 691.80 : x
  2. Step 2: Convert to fraction form
    1,179.78/1,770.03 = 691.80/x
  3. Step 3: Cross multiply
    1,179.78x = 1,770.03 × 691.80
  4. Step 4: Simplify right side
    1,179.78x = 1,224,506.75
  5. Step 5: Solve for x
    x = 1,224,506.75/1,179.78
  6. Step 6: Final answer
    x = 1,037.91

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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.