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Finding the Fourth Proportional to 2,394.80, 3,591.78 and 663

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Solution

The fourth proportional to 2,394.80, 3,591.78 and 663 is: 994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.80 : 3,591.78 = 663 : x
  2. Step 2: Convert to fraction form
    2,394.80/3,591.78 = 663/x
  3. Step 3: Cross multiply
    2,394.80x = 3,591.78 × 663
  4. Step 4: Simplify right side
    2,394.80x = 2,381,350.14
  5. Step 5: Solve for x
    x = 2,381,350.14/2,394.80
  6. Step 6: Final answer
    x = 994.38

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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.