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Finding the Fourth Proportional to 2,449.80, 3,673.92 and 805.97

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Solution

The fourth proportional to 2,449.80, 3,673.92 and 805.97 is: 1,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.80 : 3,673.92 = 805.97 : x
  2. Step 2: Convert to fraction form
    2,449.80/3,673.92 = 805.97/x
  3. Step 3: Cross multiply
    2,449.80x = 3,673.92 × 805.97
  4. Step 4: Simplify right side
    2,449.80x = 2,961,050.93
  5. Step 5: Solve for x
    x = 2,961,050.93/2,449.80
  6. Step 6: Final answer
    x = 1,208.69

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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.