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Finding the Fourth Proportional to 483.44, 723.81 and 329.18

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Solution

The fourth proportional to 483.44, 723.81 and 329.18 is: 492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.44 : 723.81 = 329.18 : x
  2. Step 2: Convert to fraction form
    483.44/723.81 = 329.18/x
  3. Step 3: Cross multiply
    483.44x = 723.81 × 329.18
  4. Step 4: Simplify right side
    483.44x = 238,263.78
  5. Step 5: Solve for x
    x = 238,263.78/483.44
  6. Step 6: Final answer
    x = 492.85

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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.