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Finding the Fourth Proportional to 422.62, 580.12 and 389.82

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Solution

The fourth proportional to 422.62, 580.12 and 389.82 is: 535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 580.12 = 389.82 : x
  2. Step 2: Convert to fraction form
    422.62/580.12 = 389.82/x
  3. Step 3: Cross multiply
    422.62x = 580.12 × 389.82
  4. Step 4: Simplify right side
    422.62x = 226,142.38
  5. Step 5: Solve for x
    x = 226,142.38/422.62
  6. Step 6: Final answer
    x = 535.10

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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.