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Finding the Fourth Proportional to 663.64, 994.78 and 252.67

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Solution

The fourth proportional to 663.64, 994.78 and 252.67 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.64 : 994.78 = 252.67 : x
  2. Step 2: Convert to fraction form
    663.64/994.78 = 252.67/x
  3. Step 3: Cross multiply
    663.64x = 994.78 × 252.67
  4. Step 4: Simplify right side
    663.64x = 251,350.76
  5. Step 5: Solve for x
    x = 251,350.76/663.64
  6. Step 6: Final answer
    x = 378.74

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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.