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Finding the Fourth Proportional to 2,450.30, 3,675.87 and 806.40

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Solution

The fourth proportional to 2,450.30, 3,675.87 and 806.40 is: 1,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.30 : 3,675.87 = 806.40 : x
  2. Step 2: Convert to fraction form
    2,450.30/3,675.87 = 806.40/x
  3. Step 3: Cross multiply
    2,450.30x = 3,675.87 × 806.40
  4. Step 4: Simplify right side
    2,450.30x = 2,964,221.57
  5. Step 5: Solve for x
    x = 2,964,221.57/2,450.30
  6. Step 6: Final answer
    x = 1,209.74

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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.