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Finding the Fourth Proportional to 486.86, 726.84 and 413.98

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Solution

The fourth proportional to 486.86, 726.84 and 413.98 is: 618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.86 : 726.84 = 413.98 : x
  2. Step 2: Convert to fraction form
    486.86/726.84 = 413.98/x
  3. Step 3: Cross multiply
    486.86x = 726.84 × 413.98
  4. Step 4: Simplify right side
    486.86x = 300,895.15
  5. Step 5: Solve for x
    x = 300,895.15/486.86
  6. Step 6: Final answer
    x = 618.03

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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.