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Finding the Fourth Proportional to 2,320.43, 3,481.20 and 676.99

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Solution

The fourth proportional to 2,320.43, 3,481.20 and 676.99 is: 1,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.43 : 3,481.20 = 676.99 : x
  2. Step 2: Convert to fraction form
    2,320.43/3,481.20 = 676.99/x
  3. Step 3: Cross multiply
    2,320.43x = 3,481.20 × 676.99
  4. Step 4: Simplify right side
    2,320.43x = 2,356,737.59
  5. Step 5: Solve for x
    x = 2,356,737.59/2,320.43
  6. Step 6: Final answer
    x = 1,015.65

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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.