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Finding the Fourth Proportional to 422.22, 581.79 and 394.62

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Solution

The fourth proportional to 422.22, 581.79 and 394.62 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.22 : 581.79 = 394.62 : x
  2. Step 2: Convert to fraction form
    422.22/581.79 = 394.62/x
  3. Step 3: Cross multiply
    422.22x = 581.79 × 394.62
  4. Step 4: Simplify right side
    422.22x = 229,585.97
  5. Step 5: Solve for x
    x = 229,585.97/422.22
  6. Step 6: Final answer
    x = 543.76

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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.