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Finding the Fourth Proportional to 982.43, 1,470.46 and 722.39

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Solution

The fourth proportional to 982.43, 1,470.46 and 722.39 is: 1,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.43 : 1,470.46 = 722.39 : x
  2. Step 2: Convert to fraction form
    982.43/1,470.46 = 722.39/x
  3. Step 3: Cross multiply
    982.43x = 1,470.46 × 722.39
  4. Step 4: Simplify right side
    982.43x = 1,062,237.80
  5. Step 5: Solve for x
    x = 1,062,237.80/982.43
  6. Step 6: Final answer
    x = 1,081.23

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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.