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Finding the Fourth Proportional to 1,291.19, 1,936.81 and 413.81

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Solution

The fourth proportional to 1,291.19, 1,936.81 and 413.81 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.19 : 1,936.81 = 413.81 : x
  2. Step 2: Convert to fraction form
    1,291.19/1,936.81 = 413.81/x
  3. Step 3: Cross multiply
    1,291.19x = 1,936.81 × 413.81
  4. Step 4: Simplify right side
    1,291.19x = 801,469.44
  5. Step 5: Solve for x
    x = 801,469.44/1,291.19
  6. Step 6: Final answer
    x = 620.72

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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.