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Finding the Fourth Proportional to 1,002.80, 1,502.40 and 819.20

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Solution

The fourth proportional to 1,002.80, 1,502.40 and 819.20 is: 1,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.80 : 1,502.40 = 819.20 : x
  2. Step 2: Convert to fraction form
    1,002.80/1,502.40 = 819.20/x
  3. Step 3: Cross multiply
    1,002.80x = 1,502.40 × 819.20
  4. Step 4: Simplify right side
    1,002.80x = 1,230,766.08
  5. Step 5: Solve for x
    x = 1,230,766.08/1,002.80
  6. Step 6: Final answer
    x = 1,227.33

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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.