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Finding the Fourth Proportional to 2,450.97, 3,676.46 and 720.81

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Solution

The fourth proportional to 2,450.97, 3,676.46 and 720.81 is: 1,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.97 : 3,676.46 = 720.81 : x
  2. Step 2: Convert to fraction form
    2,450.97/3,676.46 = 720.81/x
  3. Step 3: Cross multiply
    2,450.97x = 3,676.46 × 720.81
  4. Step 4: Simplify right side
    2,450.97x = 2,650,025.53
  5. Step 5: Solve for x
    x = 2,650,025.53/2,450.97
  6. Step 6: Final answer
    x = 1,081.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.