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Finding the Fourth Proportional to 813.97, 1,221.56 and 449.07

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Solution

The fourth proportional to 813.97, 1,221.56 and 449.07 is: 673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.97 : 1,221.56 = 449.07 : x
  2. Step 2: Convert to fraction form
    813.97/1,221.56 = 449.07/x
  3. Step 3: Cross multiply
    813.97x = 1,221.56 × 449.07
  4. Step 4: Simplify right side
    813.97x = 548,565.95
  5. Step 5: Solve for x
    x = 548,565.95/813.97
  6. Step 6: Final answer
    x = 673.94

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1.5x scale

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.