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Finding the Fourth Proportional to 664.06, 996.53 and 444.92

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Solution

The fourth proportional to 664.06, 996.53 and 444.92 is: 667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.06 : 996.53 = 444.92 : x
  2. Step 2: Convert to fraction form
    664.06/996.53 = 444.92/x
  3. Step 3: Cross multiply
    664.06x = 996.53 × 444.92
  4. Step 4: Simplify right side
    664.06x = 443,375.57
  5. Step 5: Solve for x
    x = 443,375.57/664.06
  6. Step 6: Final answer
    x = 667.68

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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.