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Finding the Fourth Proportional to 680.49, 1,020.66 and 218.12

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Solution

The fourth proportional to 680.49, 1,020.66 and 218.12 is: 327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.49 : 1,020.66 = 218.12 : x
  2. Step 2: Convert to fraction form
    680.49/1,020.66 = 218.12/x
  3. Step 3: Cross multiply
    680.49x = 1,020.66 × 218.12
  4. Step 4: Simplify right side
    680.49x = 222,620.44
  5. Step 5: Solve for x
    x = 222,620.44/680.49
  6. Step 6: Final answer
    x = 327.15

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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.