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Finding the Fourth Proportional to 850.12, 1,275.20 and 680.20

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Solution

The fourth proportional to 850.12, 1,275.20 and 680.20 is: 1,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.12 : 1,275.20 = 680.20 : x
  2. Step 2: Convert to fraction form
    850.12/1,275.20 = 680.20/x
  3. Step 3: Cross multiply
    850.12x = 1,275.20 × 680.20
  4. Step 4: Simplify right side
    850.12x = 867,391.04
  5. Step 5: Solve for x
    x = 867,391.04/850.12
  6. Step 6: Final answer
    x = 1,020.32

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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.