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Finding the Fourth Proportional to 2,450.68, 3,674.63 and 806.78

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Solution

The fourth proportional to 2,450.68, 3,674.63 and 806.78 is: 1,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.68 : 3,674.63 = 806.78 : x
  2. Step 2: Convert to fraction form
    2,450.68/3,674.63 = 806.78/x
  3. Step 3: Cross multiply
    2,450.68x = 3,674.63 × 806.78
  4. Step 4: Simplify right side
    2,450.68x = 2,964,629.19
  5. Step 5: Solve for x
    x = 2,964,629.19/2,450.68
  6. Step 6: Final answer
    x = 1,209.72

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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.