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Finding the Fourth Proportional to 382.82, 571.91 and 380.79

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Solution

The fourth proportional to 382.82, 571.91 and 380.79 is: 568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.82 : 571.91 = 380.79 : x
  2. Step 2: Convert to fraction form
    382.82/571.91 = 380.79/x
  3. Step 3: Cross multiply
    382.82x = 571.91 × 380.79
  4. Step 4: Simplify right side
    382.82x = 217,775.70
  5. Step 5: Solve for x
    x = 217,775.70/382.82
  6. Step 6: Final answer
    x = 568.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.