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Finding the Fourth Proportional to 796.42, 1,194.65 and 680.13

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Solution

The fourth proportional to 796.42, 1,194.65 and 680.13 is: 1,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.42 : 1,194.65 = 680.13 : x
  2. Step 2: Convert to fraction form
    796.42/1,194.65 = 680.13/x
  3. Step 3: Cross multiply
    796.42x = 1,194.65 × 680.13
  4. Step 4: Simplify right side
    796.42x = 812,517.30
  5. Step 5: Solve for x
    x = 812,517.30/796.42
  6. Step 6: Final answer
    x = 1,020.21

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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.