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Finding the Fourth Proportional to 679.09, 936.79 and 413.41

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Solution

The fourth proportional to 679.09, 936.79 and 413.41 is: 570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.09 : 936.79 = 413.41 : x
  2. Step 2: Convert to fraction form
    679.09/936.79 = 413.41/x
  3. Step 3: Cross multiply
    679.09x = 936.79 × 413.41
  4. Step 4: Simplify right side
    679.09x = 387,278.35
  5. Step 5: Solve for x
    x = 387,278.35/679.09
  6. Step 6: Final answer
    x = 570.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.