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Finding the Fourth Proportional to 486.30, 726.15 and 382.42

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Solution

The fourth proportional to 486.30, 726.15 and 382.42 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 726.15 = 382.42 : x
  2. Step 2: Convert to fraction form
    486.30/726.15 = 382.42/x
  3. Step 3: Cross multiply
    486.30x = 726.15 × 382.42
  4. Step 4: Simplify right side
    486.30x = 277,696.62
  5. Step 5: Solve for x
    x = 277,696.62/486.30
  6. Step 6: Final answer
    x = 571.04

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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.