Home / 1,236.28-1,853.10-413.80

Finding the Fourth Proportional to 1,236.28, 1,853.10 and 413.80

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Solution

The fourth proportional to 1,236.28, 1,853.10 and 413.80 is: 620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.28 : 1,853.10 = 413.80 : x
  2. Step 2: Convert to fraction form
    1,236.28/1,853.10 = 413.80/x
  3. Step 3: Cross multiply
    1,236.28x = 1,853.10 × 413.80
  4. Step 4: Simplify right side
    1,236.28x = 766,812.78
  5. Step 5: Solve for x
    x = 766,812.78/1,236.28
  6. Step 6: Final answer
    x = 620.26

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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.