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Finding the Fourth Proportional to 844.91, 1,267.09 and 259.88

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Solution

The fourth proportional to 844.91, 1,267.09 and 259.88 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.91 : 1,267.09 = 259.88 : x
  2. Step 2: Convert to fraction form
    844.91/1,267.09 = 259.88/x
  3. Step 3: Cross multiply
    844.91x = 1,267.09 × 259.88
  4. Step 4: Simplify right side
    844.91x = 329,293.87
  5. Step 5: Solve for x
    x = 329,293.87/844.91
  6. Step 6: Final answer
    x = 389.74

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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.