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Finding the Fourth Proportional to 680.46, 1,020.66 and 218.22

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Solution

The fourth proportional to 680.46, 1,020.66 and 218.22 is: 327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.46 : 1,020.66 = 218.22 : x
  2. Step 2: Convert to fraction form
    680.46/1,020.66 = 218.22/x
  3. Step 3: Cross multiply
    680.46x = 1,020.66 × 218.22
  4. Step 4: Simplify right side
    680.46x = 222,728.43
  5. Step 5: Solve for x
    x = 222,728.43/680.46
  6. Step 6: Final answer
    x = 327.32

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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.