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Finding the Fourth Proportional to 496.14, 742.66 and 443.97

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Solution

The fourth proportional to 496.14, 742.66 and 443.97 is: 664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.14 : 742.66 = 443.97 : x
  2. Step 2: Convert to fraction form
    496.14/742.66 = 443.97/x
  3. Step 3: Cross multiply
    496.14x = 742.66 × 443.97
  4. Step 4: Simplify right side
    496.14x = 329,717.65
  5. Step 5: Solve for x
    x = 329,717.65/496.14
  6. Step 6: Final answer
    x = 664.57

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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.