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Finding the Fourth Proportional to 762.78, 1,143.75 and 329.43

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Solution

The fourth proportional to 762.78, 1,143.75 and 329.43 is: 493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,143.75 = 329.43 : x
  2. Step 2: Convert to fraction form
    762.78/1,143.75 = 329.43/x
  3. Step 3: Cross multiply
    762.78x = 1,143.75 × 329.43
  4. Step 4: Simplify right side
    762.78x = 376,785.56
  5. Step 5: Solve for x
    x = 376,785.56/762.78
  6. Step 6: Final answer
    x = 493.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.