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Finding the Fourth Proportional to 979.90, 1,470.46 and 331.08

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Solution

The fourth proportional to 979.90, 1,470.46 and 331.08 is: 496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.90 : 1,470.46 = 331.08 : x
  2. Step 2: Convert to fraction form
    979.90/1,470.46 = 331.08/x
  3. Step 3: Cross multiply
    979.90x = 1,470.46 × 331.08
  4. Step 4: Simplify right side
    979.90x = 486,839.90
  5. Step 5: Solve for x
    x = 486,839.90/979.90
  6. Step 6: Final answer
    x = 496.83

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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.