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Finding the Fourth Proportional to 679.32, 936.80 and 413.81

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Solution

The fourth proportional to 679.32, 936.80 and 413.81 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.32 : 936.80 = 413.81 : x
  2. Step 2: Convert to fraction form
    679.32/936.80 = 413.81/x
  3. Step 3: Cross multiply
    679.32x = 936.80 × 413.81
  4. Step 4: Simplify right side
    679.32x = 387,650.45
  5. Step 5: Solve for x
    x = 387,650.45/679.32
  6. Step 6: Final answer
    x = 570.64

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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.