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Finding the Fourth Proportional to 1,408.06, 2,112.07 and 382.06

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Solution

The fourth proportional to 1,408.06, 2,112.07 and 382.06 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.06 : 2,112.07 = 382.06 : x
  2. Step 2: Convert to fraction form
    1,408.06/2,112.07 = 382.06/x
  3. Step 3: Cross multiply
    1,408.06x = 2,112.07 × 382.06
  4. Step 4: Simplify right side
    1,408.06x = 806,924.99
  5. Step 5: Solve for x
    x = 806,924.99/1,408.06
  6. Step 6: Final answer
    x = 573.08

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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.