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Finding the Fourth Proportional to 1,245.27, 1,866.74 and 422.97

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Solution

The fourth proportional to 1,245.27, 1,866.74 and 422.97 is: 634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.27 : 1,866.74 = 422.97 : x
  2. Step 2: Convert to fraction form
    1,245.27/1,866.74 = 422.97/x
  3. Step 3: Cross multiply
    1,245.27x = 1,866.74 × 422.97
  4. Step 4: Simplify right side
    1,245.27x = 789,575.02
  5. Step 5: Solve for x
    x = 789,575.02/1,245.27
  6. Step 6: Final answer
    x = 634.06

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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.