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Finding the Fourth Proportional to 1,072.27, 1,608.50 and 422.85

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Solution

The fourth proportional to 1,072.27, 1,608.50 and 422.85 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.27 : 1,608.50 = 422.85 : x
  2. Step 2: Convert to fraction form
    1,072.27/1,608.50 = 422.85/x
  3. Step 3: Cross multiply
    1,072.27x = 1,608.50 × 422.85
  4. Step 4: Simplify right side
    1,072.27x = 680,154.23
  5. Step 5: Solve for x
    x = 680,154.23/1,072.27
  6. Step 6: Final answer
    x = 634.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.