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Finding the Fourth Proportional to 919.23, 1,375.63 and 752.78

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Solution

The fourth proportional to 919.23, 1,375.63 and 752.78 is: 1,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.23 : 1,375.63 = 752.78 : x
  2. Step 2: Convert to fraction form
    919.23/1,375.63 = 752.78/x
  3. Step 3: Cross multiply
    919.23x = 1,375.63 × 752.78
  4. Step 4: Simplify right side
    919.23x = 1,035,546.75
  5. Step 5: Solve for x
    x = 1,035,546.75/919.23
  6. Step 6: Final answer
    x = 1,126.54

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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.