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Finding the Fourth Proportional to 1,396.09, 2,093.64 and 408.63

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Solution

The fourth proportional to 1,396.09, 2,093.64 and 408.63 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.09 : 2,093.64 = 408.63 : x
  2. Step 2: Convert to fraction form
    1,396.09/2,093.64 = 408.63/x
  3. Step 3: Cross multiply
    1,396.09x = 2,093.64 × 408.63
  4. Step 4: Simplify right side
    1,396.09x = 855,524.11
  5. Step 5: Solve for x
    x = 855,524.11/1,396.09
  6. Step 6: Final answer
    x = 612.80

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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.