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Finding the Fourth Proportional to 485.49, 724.94 and 381.61

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Solution

The fourth proportional to 485.49, 724.94 and 381.61 is: 569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.49 : 724.94 = 381.61 : x
  2. Step 2: Convert to fraction form
    485.49/724.94 = 381.61/x
  3. Step 3: Cross multiply
    485.49x = 724.94 × 381.61
  4. Step 4: Simplify right side
    485.49x = 276,640.73
  5. Step 5: Solve for x
    x = 276,640.73/485.49
  6. Step 6: Final answer
    x = 569.82

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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.