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Finding the Fourth Proportional to 422.59, 582.72 and 366.85

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Solution

The fourth proportional to 422.59, 582.72 and 366.85 is: 505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.59 : 582.72 = 366.85 : x
  2. Step 2: Convert to fraction form
    422.59/582.72 = 366.85/x
  3. Step 3: Cross multiply
    422.59x = 582.72 × 366.85
  4. Step 4: Simplify right side
    422.59x = 213,770.83
  5. Step 5: Solve for x
    x = 213,770.83/422.59
  6. Step 6: Final answer
    x = 505.86

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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.