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Finding the Fourth Proportional to 2,449.22, 3,672.16 and 805.53

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Solution

The fourth proportional to 2,449.22, 3,672.16 and 805.53 is: 1,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.22 : 3,672.16 = 805.53 : x
  2. Step 2: Convert to fraction form
    2,449.22/3,672.16 = 805.53/x
  3. Step 3: Cross multiply
    2,449.22x = 3,672.16 × 805.53
  4. Step 4: Simplify right side
    2,449.22x = 2,958,019.26
  5. Step 5: Solve for x
    x = 2,958,019.26/2,449.22
  6. Step 6: Final answer
    x = 1,207.74

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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.