Home / 1,350.88-2,027.23-734.78

Finding the Fourth Proportional to 1,350.88, 2,027.23 and 734.78

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Solution

The fourth proportional to 1,350.88, 2,027.23 and 734.78 is: 1,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.88 : 2,027.23 = 734.78 : x
  2. Step 2: Convert to fraction form
    1,350.88/2,027.23 = 734.78/x
  3. Step 3: Cross multiply
    1,350.88x = 2,027.23 × 734.78
  4. Step 4: Simplify right side
    1,350.88x = 1,489,571.29
  5. Step 5: Solve for x
    x = 1,489,571.29/1,350.88
  6. Step 6: Final answer
    x = 1,102.67

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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.