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Finding the Fourth Proportional to 664.44, 996.86 and 274.46

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Solution

The fourth proportional to 664.44, 996.86 and 274.46 is: 411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 996.86 = 274.46 : x
  2. Step 2: Convert to fraction form
    664.44/996.86 = 274.46/x
  3. Step 3: Cross multiply
    664.44x = 996.86 × 274.46
  4. Step 4: Simplify right side
    664.44x = 273,600.33
  5. Step 5: Solve for x
    x = 273,600.33/664.44
  6. Step 6: Final answer
    x = 411.78

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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.