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Finding the Fourth Proportional to 1,787.08, 2,680.86 and 691.78

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Solution

The fourth proportional to 1,787.08, 2,680.86 and 691.78 is: 1,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.08 : 2,680.86 = 691.78 : x
  2. Step 2: Convert to fraction form
    1,787.08/2,680.86 = 691.78/x
  3. Step 3: Cross multiply
    1,787.08x = 2,680.86 × 691.78
  4. Step 4: Simplify right side
    1,787.08x = 1,854,565.33
  5. Step 5: Solve for x
    x = 1,854,565.33/1,787.08
  6. Step 6: Final answer
    x = 1,037.76

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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.