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Finding the Fourth Proportional to 664.85, 997.21 and 274.60

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Solution

The fourth proportional to 664.85, 997.21 and 274.60 is: 411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.85 : 997.21 = 274.60 : x
  2. Step 2: Convert to fraction form
    664.85/997.21 = 274.60/x
  3. Step 3: Cross multiply
    664.85x = 997.21 × 274.60
  4. Step 4: Simplify right side
    664.85x = 273,836.86
  5. Step 5: Solve for x
    x = 273,836.86/664.85
  6. Step 6: Final answer
    x = 411.88

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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.