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Finding the Fourth Proportional to 2,449.22, 3,674.38 and 805.70

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Solution

The fourth proportional to 2,449.22, 3,674.38 and 805.70 is: 1,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.22 : 3,674.38 = 805.70 : x
  2. Step 2: Convert to fraction form
    2,449.22/3,674.38 = 805.70/x
  3. Step 3: Cross multiply
    2,449.22x = 3,674.38 × 805.70
  4. Step 4: Simplify right side
    2,449.22x = 2,960,455.14
  5. Step 5: Solve for x
    x = 2,960,455.14/2,449.22
  6. Step 6: Final answer
    x = 1,208.73

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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.