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Finding the Fourth Proportional to 494.15, 682.38 and 396.62

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Solution

The fourth proportional to 494.15, 682.38 and 396.62 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.15 : 682.38 = 396.62 : x
  2. Step 2: Convert to fraction form
    494.15/682.38 = 396.62/x
  3. Step 3: Cross multiply
    494.15x = 682.38 × 396.62
  4. Step 4: Simplify right side
    494.15x = 270,645.56
  5. Step 5: Solve for x
    x = 270,645.56/494.15
  6. Step 6: Final answer
    x = 547.70

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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.