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Finding the Fourth Proportional to 413.11, 618.84 and 331

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Solution

The fourth proportional to 413.11, 618.84 and 331 is: 495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.11 : 618.84 = 331 : x
  2. Step 2: Convert to fraction form
    413.11/618.84 = 331/x
  3. Step 3: Cross multiply
    413.11x = 618.84 × 331
  4. Step 4: Simplify right side
    413.11x = 204,836.04
  5. Step 5: Solve for x
    x = 204,836.04/413.11
  6. Step 6: Final answer
    x = 495.84

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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.