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Finding the Fourth Proportional to 2,449.64, 3,674.76 and 806.48

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Solution

The fourth proportional to 2,449.64, 3,674.76 and 806.48 is: 1,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.64 : 3,674.76 = 806.48 : x
  2. Step 2: Convert to fraction form
    2,449.64/3,674.76 = 806.48/x
  3. Step 3: Cross multiply
    2,449.64x = 3,674.76 × 806.48
  4. Step 4: Simplify right side
    2,449.64x = 2,963,620.44
  5. Step 5: Solve for x
    x = 2,963,620.44/2,449.64
  6. Step 6: Final answer
    x = 1,209.82

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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.