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Finding the Fourth Proportional to 629.83, 944.86 and 259.57

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Solution

The fourth proportional to 629.83, 944.86 and 259.57 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.83 : 944.86 = 259.57 : x
  2. Step 2: Convert to fraction form
    629.83/944.86 = 259.57/x
  3. Step 3: Cross multiply
    629.83x = 944.86 × 259.57
  4. Step 4: Simplify right side
    629.83x = 245,257.31
  5. Step 5: Solve for x
    x = 245,257.31/629.83
  6. Step 6: Final answer
    x = 389.40

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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.