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Finding the Fourth Proportional to 422.42, 579.82 and 374.78

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Solution

The fourth proportional to 422.42, 579.82 and 374.78 is: 514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.42 : 579.82 = 374.78 : x
  2. Step 2: Convert to fraction form
    422.42/579.82 = 374.78/x
  3. Step 3: Cross multiply
    422.42x = 579.82 × 374.78
  4. Step 4: Simplify right side
    422.42x = 217,304.94
  5. Step 5: Solve for x
    x = 217,304.94/422.42
  6. Step 6: Final answer
    x = 514.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.