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Finding the Fourth Proportional to 422.30, 585.43 and 400.07

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Solution

The fourth proportional to 422.30, 585.43 and 400.07 is: 554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 585.43 = 400.07 : x
  2. Step 2: Convert to fraction form
    422.30/585.43 = 400.07/x
  3. Step 3: Cross multiply
    422.30x = 585.43 × 400.07
  4. Step 4: Simplify right side
    422.30x = 234,213.44
  5. Step 5: Solve for x
    x = 234,213.44/422.30
  6. Step 6: Final answer
    x = 554.61

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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.