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Finding the Fourth Proportional to 629.84, 944.40 and 259.40

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Solution

The fourth proportional to 629.84, 944.40 and 259.40 is: 388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.84 : 944.40 = 259.40 : x
  2. Step 2: Convert to fraction form
    629.84/944.40 = 259.40/x
  3. Step 3: Cross multiply
    629.84x = 944.40 × 259.40
  4. Step 4: Simplify right side
    629.84x = 244,977.36
  5. Step 5: Solve for x
    x = 244,977.36/629.84
  6. Step 6: Final answer
    x = 388.95

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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.