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Finding the Fourth Proportional to 2,272.88, 3,409.37 and 712.85

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Solution

The fourth proportional to 2,272.88, 3,409.37 and 712.85 is: 1,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.88 : 3,409.37 = 712.85 : x
  2. Step 2: Convert to fraction form
    2,272.88/3,409.37 = 712.85/x
  3. Step 3: Cross multiply
    2,272.88x = 3,409.37 × 712.85
  4. Step 4: Simplify right side
    2,272.88x = 2,430,365.84
  5. Step 5: Solve for x
    x = 2,430,365.84/2,272.88
  6. Step 6: Final answer
    x = 1,069.29

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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.