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Finding the Fourth Proportional to 2,272.83, 3,409.25 and 629.39

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Solution

The fourth proportional to 2,272.83, 3,409.25 and 629.39 is: 944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.83 : 3,409.25 = 629.39 : x
  2. Step 2: Convert to fraction form
    2,272.83/3,409.25 = 629.39/x
  3. Step 3: Cross multiply
    2,272.83x = 3,409.25 × 629.39
  4. Step 4: Simplify right side
    2,272.83x = 2,145,747.86
  5. Step 5: Solve for x
    x = 2,145,747.86/2,272.83
  6. Step 6: Final answer
    x = 944.09

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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.