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Finding the Fourth Proportional to 2,485.53, 3,728.25 and 819.90

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Solution

The fourth proportional to 2,485.53, 3,728.25 and 819.90 is: 1,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.53 : 3,728.25 = 819.90 : x
  2. Step 2: Convert to fraction form
    2,485.53/3,728.25 = 819.90/x
  3. Step 3: Cross multiply
    2,485.53x = 3,728.25 × 819.90
  4. Step 4: Simplify right side
    2,485.53x = 3,056,792.18
  5. Step 5: Solve for x
    x = 3,056,792.18/2,485.53
  6. Step 6: Final answer
    x = 1,229.84

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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.