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Finding the Fourth Proportional to 982.26, 1,472.49 and 635.72

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Solution

The fourth proportional to 982.26, 1,472.49 and 635.72 is: 952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.26 : 1,472.49 = 635.72 : x
  2. Step 2: Convert to fraction form
    982.26/1,472.49 = 635.72/x
  3. Step 3: Cross multiply
    982.26x = 1,472.49 × 635.72
  4. Step 4: Simplify right side
    982.26x = 936,083.98
  5. Step 5: Solve for x
    x = 936,083.98/982.26
  6. Step 6: Final answer
    x = 952.99

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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.