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Finding the Fourth Proportional to 980.22, 1,469.75 and 330.87

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Solution

The fourth proportional to 980.22, 1,469.75 and 330.87 is: 496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.22 : 1,469.75 = 330.87 : x
  2. Step 2: Convert to fraction form
    980.22/1,469.75 = 330.87/x
  3. Step 3: Cross multiply
    980.22x = 1,469.75 × 330.87
  4. Step 4: Simplify right side
    980.22x = 486,294.53
  5. Step 5: Solve for x
    x = 486,294.53/980.22
  6. Step 6: Final answer
    x = 496.11

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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.