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Finding the Fourth Proportional to 494.73, 742.92 and 475.11

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Solution

The fourth proportional to 494.73, 742.92 and 475.11 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.73 : 742.92 = 475.11 : x
  2. Step 2: Convert to fraction form
    494.73/742.92 = 475.11/x
  3. Step 3: Cross multiply
    494.73x = 742.92 × 475.11
  4. Step 4: Simplify right side
    494.73x = 352,968.72
  5. Step 5: Solve for x
    x = 352,968.72/494.73
  6. Step 6: Final answer
    x = 713.46

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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.