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Finding the Fourth Proportional to 486.14, 726.33 and 481.82

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Solution

The fourth proportional to 486.14, 726.33 and 481.82 is: 719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 726.33 = 481.82 : x
  2. Step 2: Convert to fraction form
    486.14/726.33 = 481.82/x
  3. Step 3: Cross multiply
    486.14x = 726.33 × 481.82
  4. Step 4: Simplify right side
    486.14x = 349,957.91
  5. Step 5: Solve for x
    x = 349,957.91/486.14
  6. Step 6: Final answer
    x = 719.87

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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.