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Finding the Fourth Proportional to 752.23, 1,123.78 and 629.22

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Solution

The fourth proportional to 752.23, 1,123.78 and 629.22 is: 940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.23 : 1,123.78 = 629.22 : x
  2. Step 2: Convert to fraction form
    752.23/1,123.78 = 629.22/x
  3. Step 3: Cross multiply
    752.23x = 1,123.78 × 629.22
  4. Step 4: Simplify right side
    752.23x = 707,104.85
  5. Step 5: Solve for x
    x = 707,104.85/752.23
  6. Step 6: Final answer
    x = 940.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.