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Finding the Fourth Proportional to 1,591.90, 2,387.25 and 617.78

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Solution

The fourth proportional to 1,591.90, 2,387.25 and 617.78 is: 926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.90 : 2,387.25 = 617.78 : x
  2. Step 2: Convert to fraction form
    1,591.90/2,387.25 = 617.78/x
  3. Step 3: Cross multiply
    1,591.90x = 2,387.25 × 617.78
  4. Step 4: Simplify right side
    1,591.90x = 1,474,786.11
  5. Step 5: Solve for x
    x = 1,474,786.11/1,591.90
  6. Step 6: Final answer
    x = 926.43

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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.