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Finding the Fourth Proportional to 481.84, 726.32 and 413.92

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Solution

The fourth proportional to 481.84, 726.32 and 413.92 is: 623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.84 : 726.32 = 413.92 : x
  2. Step 2: Convert to fraction form
    481.84/726.32 = 413.92/x
  3. Step 3: Cross multiply
    481.84x = 726.32 × 413.92
  4. Step 4: Simplify right side
    481.84x = 300,638.37
  5. Step 5: Solve for x
    x = 300,638.37/481.84
  6. Step 6: Final answer
    x = 623.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.