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Finding the Fourth Proportional to 422.64, 584.22 and 405.42

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Solution

The fourth proportional to 422.64, 584.22 and 405.42 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 584.22 = 405.42 : x
  2. Step 2: Convert to fraction form
    422.64/584.22 = 405.42/x
  3. Step 3: Cross multiply
    422.64x = 584.22 × 405.42
  4. Step 4: Simplify right side
    422.64x = 236,854.47
  5. Step 5: Solve for x
    x = 236,854.47/422.64
  6. Step 6: Final answer
    x = 560.42

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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.