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Finding the Fourth Proportional to 422.96, 630.82 and 408.56

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Solution

The fourth proportional to 422.96, 630.82 and 408.56 is: 609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.96 : 630.82 = 408.56 : x
  2. Step 2: Convert to fraction form
    422.96/630.82 = 408.56/x
  3. Step 3: Cross multiply
    422.96x = 630.82 × 408.56
  4. Step 4: Simplify right side
    422.96x = 257,727.82
  5. Step 5: Solve for x
    x = 257,727.82/422.96
  6. Step 6: Final answer
    x = 609.34

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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.