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Finding the Fourth Proportional to 762.68, 1,143.82 and 329.80

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Solution

The fourth proportional to 762.68, 1,143.82 and 329.80 is: 494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.68 : 1,143.82 = 329.80 : x
  2. Step 2: Convert to fraction form
    762.68/1,143.82 = 329.80/x
  3. Step 3: Cross multiply
    762.68x = 1,143.82 × 329.80
  4. Step 4: Simplify right side
    762.68x = 377,231.84
  5. Step 5: Solve for x
    x = 377,231.84/762.68
  6. Step 6: Final answer
    x = 494.61

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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.