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Finding the Fourth Proportional to 1,324.68, 1,986.91 and 447.11

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Solution

The fourth proportional to 1,324.68, 1,986.91 and 447.11 is: 670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.68 : 1,986.91 = 447.11 : x
  2. Step 2: Convert to fraction form
    1,324.68/1,986.91 = 447.11/x
  3. Step 3: Cross multiply
    1,324.68x = 1,986.91 × 447.11
  4. Step 4: Simplify right side
    1,324.68x = 888,367.33
  5. Step 5: Solve for x
    x = 888,367.33/1,324.68
  6. Step 6: Final answer
    x = 670.63

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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.