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Finding the Fourth Proportional to 494.73, 682.52 and 326.86

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Solution

The fourth proportional to 494.73, 682.52 and 326.86 is: 450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.73 : 682.52 = 326.86 : x
  2. Step 2: Convert to fraction form
    494.73/682.52 = 326.86/x
  3. Step 3: Cross multiply
    494.73x = 682.52 × 326.86
  4. Step 4: Simplify right side
    494.73x = 223,085.15
  5. Step 5: Solve for x
    x = 223,085.15/494.73
  6. Step 6: Final answer
    x = 450.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.