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Finding the Fourth Proportional to 2,272.42, 3,408.63 and 629.09

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Solution

The fourth proportional to 2,272.42, 3,408.63 and 629.09 is: 943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.42 : 3,408.63 = 629.09 : x
  2. Step 2: Convert to fraction form
    2,272.42/3,408.63 = 629.09/x
  3. Step 3: Cross multiply
    2,272.42x = 3,408.63 × 629.09
  4. Step 4: Simplify right side
    2,272.42x = 2,144,335.05
  5. Step 5: Solve for x
    x = 2,144,335.05/2,272.42
  6. Step 6: Final answer
    x = 943.64

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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.