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Finding the Fourth Proportional to 680.44, 1,021.17 and 449.25

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Solution

The fourth proportional to 680.44, 1,021.17 and 449.25 is: 674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.44 : 1,021.17 = 449.25 : x
  2. Step 2: Convert to fraction form
    680.44/1,021.17 = 449.25/x
  3. Step 3: Cross multiply
    680.44x = 1,021.17 × 449.25
  4. Step 4: Simplify right side
    680.44x = 458,756.58
  5. Step 5: Solve for x
    x = 458,756.58/680.44
  6. Step 6: Final answer
    x = 674.21

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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.