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Finding the Fourth Proportional to 2,529.62, 3,793.90 and 680.30

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Solution

The fourth proportional to 2,529.62, 3,793.90 and 680.30 is: 1,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.62 : 3,793.90 = 680.30 : x
  2. Step 2: Convert to fraction form
    2,529.62/3,793.90 = 680.30/x
  3. Step 3: Cross multiply
    2,529.62x = 3,793.90 × 680.30
  4. Step 4: Simplify right side
    2,529.62x = 2,580,990.17
  5. Step 5: Solve for x
    x = 2,580,990.17/2,529.62
  6. Step 6: Final answer
    x = 1,020.31

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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.