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Finding the Fourth Proportional to 629.81, 944.33 and 259.33

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Solution

The fourth proportional to 629.81, 944.33 and 259.33 is: 388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.81 : 944.33 = 259.33 : x
  2. Step 2: Convert to fraction form
    629.81/944.33 = 259.33/x
  3. Step 3: Cross multiply
    629.81x = 944.33 × 259.33
  4. Step 4: Simplify right side
    629.81x = 244,891.39
  5. Step 5: Solve for x
    x = 244,891.39/629.81
  6. Step 6: Final answer
    x = 388.84

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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.