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Finding the Fourth Proportional to 1,729.32, 2,591.82 and 863.88

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Solution

The fourth proportional to 1,729.32, 2,591.82 and 863.88 is: 1,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.32 : 2,591.82 = 863.88 : x
  2. Step 2: Convert to fraction form
    1,729.32/2,591.82 = 863.88/x
  3. Step 3: Cross multiply
    1,729.32x = 2,591.82 × 863.88
  4. Step 4: Simplify right side
    1,729.32x = 2,239,021.46
  5. Step 5: Solve for x
    x = 2,239,021.46/1,729.32
  6. Step 6: Final answer
    x = 1,294.74

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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.