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Finding the Fourth Proportional to 782, 1,079.52 and 627.92

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Solution

The fourth proportional to 782, 1,079.52 and 627.92 is: 866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 1,079.52 = 627.92 : x
  2. Step 2: Convert to fraction form
    782/1,079.52 = 627.92/x
  3. Step 3: Cross multiply
    782x = 1,079.52 × 627.92
  4. Step 4: Simplify right side
    782x = 677,852.20
  5. Step 5: Solve for x
    x = 677,852.20/782
  6. Step 6: Final answer
    x = 866.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.