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Finding the Fourth Proportional to 2,480.89, 3,721.07 and 920.60

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Solution

The fourth proportional to 2,480.89, 3,721.07 and 920.60 is: 1,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.89 : 3,721.07 = 920.60 : x
  2. Step 2: Convert to fraction form
    2,480.89/3,721.07 = 920.60/x
  3. Step 3: Cross multiply
    2,480.89x = 3,721.07 × 920.60
  4. Step 4: Simplify right side
    2,480.89x = 3,425,617.04
  5. Step 5: Solve for x
    x = 3,425,617.04/2,480.89
  6. Step 6: Final answer
    x = 1,380.80

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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.