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Finding the Fourth Proportional to 2,449.35, 3,674.39 and 805.73

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Solution

The fourth proportional to 2,449.35, 3,674.39 and 805.73 is: 1,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.35 : 3,674.39 = 805.73 : x
  2. Step 2: Convert to fraction form
    2,449.35/3,674.39 = 805.73/x
  3. Step 3: Cross multiply
    2,449.35x = 3,674.39 × 805.73
  4. Step 4: Simplify right side
    2,449.35x = 2,960,543.85
  5. Step 5: Solve for x
    x = 2,960,543.85/2,449.35
  6. Step 6: Final answer
    x = 1,208.71

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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.