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Finding the Fourth Proportional to 664.54, 994.38 and 662.92

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Solution

The fourth proportional to 664.54, 994.38 and 662.92 is: 991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.54 : 994.38 = 662.92 : x
  2. Step 2: Convert to fraction form
    664.54/994.38 = 662.92/x
  3. Step 3: Cross multiply
    664.54x = 994.38 × 662.92
  4. Step 4: Simplify right side
    664.54x = 659,194.39
  5. Step 5: Solve for x
    x = 659,194.39/664.54
  6. Step 6: Final answer
    x = 991.96

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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.