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Finding the Fourth Proportional to 422.85, 582.11 and 376.15

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Solution

The fourth proportional to 422.85, 582.11 and 376.15 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.85 : 582.11 = 376.15 : x
  2. Step 2: Convert to fraction form
    422.85/582.11 = 376.15/x
  3. Step 3: Cross multiply
    422.85x = 582.11 × 376.15
  4. Step 4: Simplify right side
    422.85x = 218,960.68
  5. Step 5: Solve for x
    x = 218,960.68/422.85
  6. Step 6: Final answer
    x = 517.82

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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.