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Finding the Fourth Proportional to 2,320.20, 3,480.64 and 676.53

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Solution

The fourth proportional to 2,320.20, 3,480.64 and 676.53 is: 1,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.20 : 3,480.64 = 676.53 : x
  2. Step 2: Convert to fraction form
    2,320.20/3,480.64 = 676.53/x
  3. Step 3: Cross multiply
    2,320.20x = 3,480.64 × 676.53
  4. Step 4: Simplify right side
    2,320.20x = 2,354,757.38
  5. Step 5: Solve for x
    x = 2,354,757.38/2,320.20
  6. Step 6: Final answer
    x = 1,014.89

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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.