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Finding the Fourth Proportional to 1,124.30, 1,686.87 and 691.76

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Solution

The fourth proportional to 1,124.30, 1,686.87 and 691.76 is: 1,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.30 : 1,686.87 = 691.76 : x
  2. Step 2: Convert to fraction form
    1,124.30/1,686.87 = 691.76/x
  3. Step 3: Cross multiply
    1,124.30x = 1,686.87 × 691.76
  4. Step 4: Simplify right side
    1,124.30x = 1,166,913.41
  5. Step 5: Solve for x
    x = 1,166,913.41/1,124.30
  6. Step 6: Final answer
    x = 1,037.90

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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.