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Finding the Fourth Proportional to 1,310.80, 1,966.42 and 489.20

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Solution

The fourth proportional to 1,310.80, 1,966.42 and 489.20 is: 733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.80 : 1,966.42 = 489.20 : x
  2. Step 2: Convert to fraction form
    1,310.80/1,966.42 = 489.20/x
  3. Step 3: Cross multiply
    1,310.80x = 1,966.42 × 489.20
  4. Step 4: Simplify right side
    1,310.80x = 961,972.66
  5. Step 5: Solve for x
    x = 961,972.66/1,310.80
  6. Step 6: Final answer
    x = 733.88

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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.