Home / 1,396.21-2,093.97-409.03

Finding the Fourth Proportional to 1,396.21, 2,093.97 and 409.03

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Solution

The fourth proportional to 1,396.21, 2,093.97 and 409.03 is: 613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.21 : 2,093.97 = 409.03 : x
  2. Step 2: Convert to fraction form
    1,396.21/2,093.97 = 409.03/x
  3. Step 3: Cross multiply
    1,396.21x = 2,093.97 × 409.03
  4. Step 4: Simplify right side
    1,396.21x = 856,496.55
  5. Step 5: Solve for x
    x = 856,496.55/1,396.21
  6. Step 6: Final answer
    x = 613.44

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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.