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Finding the Fourth Proportional to 422.70, 585.27 and 401.10

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Solution

The fourth proportional to 422.70, 585.27 and 401.10 is: 555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.70 : 585.27 = 401.10 : x
  2. Step 2: Convert to fraction form
    422.70/585.27 = 401.10/x
  3. Step 3: Cross multiply
    422.70x = 585.27 × 401.10
  4. Step 4: Simplify right side
    422.70x = 234,751.80
  5. Step 5: Solve for x
    x = 234,751.80/422.70
  6. Step 6: Final answer
    x = 555.36

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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.