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Finding the Fourth Proportional to 2,273.25, 3,409.95 and 629.79

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Solution

The fourth proportional to 2,273.25, 3,409.95 and 629.79 is: 944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.25 : 3,409.95 = 629.79 : x
  2. Step 2: Convert to fraction form
    2,273.25/3,409.95 = 629.79/x
  3. Step 3: Cross multiply
    2,273.25x = 3,409.95 × 629.79
  4. Step 4: Simplify right side
    2,273.25x = 2,147,552.41
  5. Step 5: Solve for x
    x = 2,147,552.41/2,273.25
  6. Step 6: Final answer
    x = 944.71

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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.