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Finding the Fourth Proportional to 422.09, 585.46 and 410.85

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Solution

The fourth proportional to 422.09, 585.46 and 410.85 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.09 : 585.46 = 410.85 : x
  2. Step 2: Convert to fraction form
    422.09/585.46 = 410.85/x
  3. Step 3: Cross multiply
    422.09x = 585.46 × 410.85
  4. Step 4: Simplify right side
    422.09x = 240,536.75
  5. Step 5: Solve for x
    x = 240,536.75/422.09
  6. Step 6: Final answer
    x = 569.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.