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Finding the Fourth Proportional to 494.47, 742.37 and 318.29

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Solution

The fourth proportional to 494.47, 742.37 and 318.29 is: 477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.47 : 742.37 = 318.29 : x
  2. Step 2: Convert to fraction form
    494.47/742.37 = 318.29/x
  3. Step 3: Cross multiply
    494.47x = 742.37 × 318.29
  4. Step 4: Simplify right side
    494.47x = 236,289.74
  5. Step 5: Solve for x
    x = 236,289.74/494.47
  6. Step 6: Final answer
    x = 477.87

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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.