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Finding the Fourth Proportional to 486.49, 726.43 and 382.61

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Solution

The fourth proportional to 486.49, 726.43 and 382.61 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.49 : 726.43 = 382.61 : x
  2. Step 2: Convert to fraction form
    486.49/726.43 = 382.61/x
  3. Step 3: Cross multiply
    486.49x = 726.43 × 382.61
  4. Step 4: Simplify right side
    486.49x = 277,939.38
  5. Step 5: Solve for x
    x = 277,939.38/486.49
  6. Step 6: Final answer
    x = 571.32

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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.