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Finding the Fourth Proportional to 2,450.87, 3,676.37 and 719.55

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Solution

The fourth proportional to 2,450.87, 3,676.37 and 719.55 is: 1,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.87 : 3,676.37 = 719.55 : x
  2. Step 2: Convert to fraction form
    2,450.87/3,676.37 = 719.55/x
  3. Step 3: Cross multiply
    2,450.87x = 3,676.37 × 719.55
  4. Step 4: Simplify right side
    2,450.87x = 2,645,328.44
  5. Step 5: Solve for x
    x = 2,645,328.44/2,450.87
  6. Step 6: Final answer
    x = 1,079.34

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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.