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Finding the Fourth Proportional to 1,150.75, 1,724.57 and 629.97

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Solution

The fourth proportional to 1,150.75, 1,724.57 and 629.97 is: 944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.75 : 1,724.57 = 629.97 : x
  2. Step 2: Convert to fraction form
    1,150.75/1,724.57 = 629.97/x
  3. Step 3: Cross multiply
    1,150.75x = 1,724.57 × 629.97
  4. Step 4: Simplify right side
    1,150.75x = 1,086,427.36
  5. Step 5: Solve for x
    x = 1,086,427.36/1,150.75
  6. Step 6: Final answer
    x = 944.10

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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.