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Finding the Fourth Proportional to 980.03, 1,469.97 and 492.71

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Solution

The fourth proportional to 980.03, 1,469.97 and 492.71 is: 739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.03 : 1,469.97 = 492.71 : x
  2. Step 2: Convert to fraction form
    980.03/1,469.97 = 492.71/x
  3. Step 3: Cross multiply
    980.03x = 1,469.97 × 492.71
  4. Step 4: Simplify right side
    980.03x = 724,261.57
  5. Step 5: Solve for x
    x = 724,261.57/980.03
  6. Step 6: Final answer
    x = 739.02

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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.