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Finding the Fourth Proportional to 680.95, 1,020.08 and 449.13

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Solution

The fourth proportional to 680.95, 1,020.08 and 449.13 is: 672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.95 : 1,020.08 = 449.13 : x
  2. Step 2: Convert to fraction form
    680.95/1,020.08 = 449.13/x
  3. Step 3: Cross multiply
    680.95x = 1,020.08 × 449.13
  4. Step 4: Simplify right side
    680.95x = 458,144.14
  5. Step 5: Solve for x
    x = 458,144.14/680.95
  6. Step 6: Final answer
    x = 672.80

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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.