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Finding the Fourth Proportional to 980, 1,469.68 and 735.52

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Solution

The fourth proportional to 980, 1,469.68 and 735.52 is: 1,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,469.68 = 735.52 : x
  2. Step 2: Convert to fraction form
    980/1,469.68 = 735.52/x
  3. Step 3: Cross multiply
    980x = 1,469.68 × 735.52
  4. Step 4: Simplify right side
    980x = 1,080,979.03
  5. Step 5: Solve for x
    x = 1,080,979.03/980
  6. Step 6: Final answer
    x = 1,103.04

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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.