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Finding the Fourth Proportional to 2,529.55, 3,794.55 and 680.62

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Solution

The fourth proportional to 2,529.55, 3,794.55 and 680.62 is: 1,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.55 : 3,794.55 = 680.62 : x
  2. Step 2: Convert to fraction form
    2,529.55/3,794.55 = 680.62/x
  3. Step 3: Cross multiply
    2,529.55x = 3,794.55 × 680.62
  4. Step 4: Simplify right side
    2,529.55x = 2,582,646.62
  5. Step 5: Solve for x
    x = 2,582,646.62/2,529.55
  6. Step 6: Final answer
    x = 1,020.99

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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.