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Finding the Fourth Proportional to 2,450.88, 3,676.31 and 719.50

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Solution

The fourth proportional to 2,450.88, 3,676.31 and 719.50 is: 1,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.88 : 3,676.31 = 719.50 : x
  2. Step 2: Convert to fraction form
    2,450.88/3,676.31 = 719.50/x
  3. Step 3: Cross multiply
    2,450.88x = 3,676.31 × 719.50
  4. Step 4: Simplify right side
    2,450.88x = 2,645,105.05
  5. Step 5: Solve for x
    x = 2,645,105.05/2,450.88
  6. Step 6: Final answer
    x = 1,079.25

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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.