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Finding the Fourth Proportional to 485.17, 724.97 and 329.81

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Solution

The fourth proportional to 485.17, 724.97 and 329.81 is: 492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.17 : 724.97 = 329.81 : x
  2. Step 2: Convert to fraction form
    485.17/724.97 = 329.81/x
  3. Step 3: Cross multiply
    485.17x = 724.97 × 329.81
  4. Step 4: Simplify right side
    485.17x = 239,099.56
  5. Step 5: Solve for x
    x = 239,099.56/485.17
  6. Step 6: Final answer
    x = 492.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.