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Finding the Fourth Proportional to 413.69, 620.78 and 182.57

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Solution

The fourth proportional to 413.69, 620.78 and 182.57 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.69 : 620.78 = 182.57 : x
  2. Step 2: Convert to fraction form
    413.69/620.78 = 182.57/x
  3. Step 3: Cross multiply
    413.69x = 620.78 × 182.57
  4. Step 4: Simplify right side
    413.69x = 113,331.79
  5. Step 5: Solve for x
    x = 113,331.79/413.69
  6. Step 6: Final answer
    x = 273.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.