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Finding the Fourth Proportional to 980.43, 1,471.92 and 657.24

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Solution

The fourth proportional to 980.43, 1,471.92 and 657.24 is: 986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.43 : 1,471.92 = 657.24 : x
  2. Step 2: Convert to fraction form
    980.43/1,471.92 = 657.24/x
  3. Step 3: Cross multiply
    980.43x = 1,471.92 × 657.24
  4. Step 4: Simplify right side
    980.43x = 967,404.70
  5. Step 5: Solve for x
    x = 967,404.70/980.43
  6. Step 6: Final answer
    x = 986.71

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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.