Home / 1,408.26-2,112.38-382.26

Finding the Fourth Proportional to 1,408.26, 2,112.38 and 382.26

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Solution

The fourth proportional to 1,408.26, 2,112.38 and 382.26 is: 573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.26 : 2,112.38 = 382.26 : x
  2. Step 2: Convert to fraction form
    1,408.26/2,112.38 = 382.26/x
  3. Step 3: Cross multiply
    1,408.26x = 2,112.38 × 382.26
  4. Step 4: Simplify right side
    1,408.26x = 807,478.38
  5. Step 5: Solve for x
    x = 807,478.38/1,408.26
  6. Step 6: Final answer
    x = 573.39

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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.