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Finding the Fourth Proportional to 494.97, 743.12 and 318.79

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Solution

The fourth proportional to 494.97, 743.12 and 318.79 is: 478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.97 : 743.12 = 318.79 : x
  2. Step 2: Convert to fraction form
    494.97/743.12 = 318.79/x
  3. Step 3: Cross multiply
    494.97x = 743.12 × 318.79
  4. Step 4: Simplify right side
    494.97x = 236,899.22
  5. Step 5: Solve for x
    x = 236,899.22/494.97
  6. Step 6: Final answer
    x = 478.61

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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.