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Finding the Fourth Proportional to 422.10, 628.56 and 411.30

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Solution

The fourth proportional to 422.10, 628.56 and 411.30 is: 612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.10 : 628.56 = 411.30 : x
  2. Step 2: Convert to fraction form
    422.10/628.56 = 411.30/x
  3. Step 3: Cross multiply
    422.10x = 628.56 × 411.30
  4. Step 4: Simplify right side
    422.10x = 258,526.73
  5. Step 5: Solve for x
    x = 258,526.73/422.10
  6. Step 6: Final answer
    x = 612.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.