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Finding the Fourth Proportional to 486.36, 726.09 and 413.48

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Solution

The fourth proportional to 486.36, 726.09 and 413.48 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.36 : 726.09 = 413.48 : x
  2. Step 2: Convert to fraction form
    486.36/726.09 = 413.48/x
  3. Step 3: Cross multiply
    486.36x = 726.09 × 413.48
  4. Step 4: Simplify right side
    486.36x = 300,223.69
  5. Step 5: Solve for x
    x = 300,223.69/486.36
  6. Step 6: Final answer
    x = 617.29

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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.