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Finding the Fourth Proportional to 483.55, 724.03 and 329.78

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Solution

The fourth proportional to 483.55, 724.03 and 329.78 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.55 : 724.03 = 329.78 : x
  2. Step 2: Convert to fraction form
    483.55/724.03 = 329.78/x
  3. Step 3: Cross multiply
    483.55x = 724.03 × 329.78
  4. Step 4: Simplify right side
    483.55x = 238,766.99
  5. Step 5: Solve for x
    x = 238,766.99/483.55
  6. Step 6: Final answer
    x = 493.78

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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.