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Finding the Fourth Proportional to 663, 994.64 and 252.13

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Solution

The fourth proportional to 663, 994.64 and 252.13 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663 : 994.64 = 252.13 : x
  2. Step 2: Convert to fraction form
    663/994.64 = 252.13/x
  3. Step 3: Cross multiply
    663x = 994.64 × 252.13
  4. Step 4: Simplify right side
    663x = 250,778.58
  5. Step 5: Solve for x
    x = 250,778.58/663
  6. Step 6: Final answer
    x = 378.25

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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.