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Finding the Fourth Proportional to 494.82, 682.90 and 411.78

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Solution

The fourth proportional to 494.82, 682.90 and 411.78 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 682.90 = 411.78 : x
  2. Step 2: Convert to fraction form
    494.82/682.90 = 411.78/x
  3. Step 3: Cross multiply
    494.82x = 682.90 × 411.78
  4. Step 4: Simplify right side
    494.82x = 281,204.56
  5. Step 5: Solve for x
    x = 281,204.56/494.82
  6. Step 6: Final answer
    x = 568.30

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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.