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Finding the Fourth Proportional to 494.75, 682.86 and 411.78

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Solution

The fourth proportional to 494.75, 682.86 and 411.78 is: 568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 682.86 = 411.78 : x
  2. Step 2: Convert to fraction form
    494.75/682.86 = 411.78/x
  3. Step 3: Cross multiply
    494.75x = 682.86 × 411.78
  4. Step 4: Simplify right side
    494.75x = 281,188.09
  5. Step 5: Solve for x
    x = 281,188.09/494.75
  6. Step 6: Final answer
    x = 568.34

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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.