Home / 1,344.09-2,015.82-406.86

Finding the Fourth Proportional to 1,344.09, 2,015.82 and 406.86

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Solution

The fourth proportional to 1,344.09, 2,015.82 and 406.86 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.09 : 2,015.82 = 406.86 : x
  2. Step 2: Convert to fraction form
    1,344.09/2,015.82 = 406.86/x
  3. Step 3: Cross multiply
    1,344.09x = 2,015.82 × 406.86
  4. Step 4: Simplify right side
    1,344.09x = 820,156.53
  5. Step 5: Solve for x
    x = 820,156.53/1,344.09
  6. Step 6: Final answer
    x = 610.19

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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.