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Finding the Fourth Proportional to 1,200.20, 1,797.60 and 762.80

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Solution

The fourth proportional to 1,200.20, 1,797.60 and 762.80 is: 1,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.20 : 1,797.60 = 762.80 : x
  2. Step 2: Convert to fraction form
    1,200.20/1,797.60 = 762.80/x
  3. Step 3: Cross multiply
    1,200.20x = 1,797.60 × 762.80
  4. Step 4: Simplify right side
    1,200.20x = 1,371,209.28
  5. Step 5: Solve for x
    x = 1,371,209.28/1,200.20
  6. Step 6: Final answer
    x = 1,142.48

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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.