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Finding the Fourth Proportional to 485.27, 724.95 and 310.54

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Solution

The fourth proportional to 485.27, 724.95 and 310.54 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.27 : 724.95 = 310.54 : x
  2. Step 2: Convert to fraction form
    485.27/724.95 = 310.54/x
  3. Step 3: Cross multiply
    485.27x = 724.95 × 310.54
  4. Step 4: Simplify right side
    485.27x = 225,125.97
  5. Step 5: Solve for x
    x = 225,125.97/485.27
  6. Step 6: Final answer
    x = 463.92

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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.