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Finding the Fourth Proportional to 1,063.18, 1,591.43 and 671.83

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Solution

The fourth proportional to 1,063.18, 1,591.43 and 671.83 is: 1,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.18 : 1,591.43 = 671.83 : x
  2. Step 2: Convert to fraction form
    1,063.18/1,591.43 = 671.83/x
  3. Step 3: Cross multiply
    1,063.18x = 1,591.43 × 671.83
  4. Step 4: Simplify right side
    1,063.18x = 1,069,170.42
  5. Step 5: Solve for x
    x = 1,069,170.42/1,063.18
  6. Step 6: Final answer
    x = 1,005.63

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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.