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Finding the Fourth Proportional to 680.69, 1,019.66 and 449.01

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Solution

The fourth proportional to 680.69, 1,019.66 and 449.01 is: 672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.69 : 1,019.66 = 449.01 : x
  2. Step 2: Convert to fraction form
    680.69/1,019.66 = 449.01/x
  3. Step 3: Cross multiply
    680.69x = 1,019.66 × 449.01
  4. Step 4: Simplify right side
    680.69x = 457,838.66
  5. Step 5: Solve for x
    x = 457,838.66/680.69
  6. Step 6: Final answer
    x = 672.61

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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.