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Finding the Fourth Proportional to 680.82, 1,019.89 and 449.00

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Solution

The fourth proportional to 680.82, 1,019.89 and 449.00 is: 672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.82 : 1,019.89 = 449.00 : x
  2. Step 2: Convert to fraction form
    680.82/1,019.89 = 449.00/x
  3. Step 3: Cross multiply
    680.82x = 1,019.89 × 449.00
  4. Step 4: Simplify right side
    680.82x = 457,934.28
  5. Step 5: Solve for x
    x = 457,934.28/680.82
  6. Step 6: Final answer
    x = 672.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.