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Finding the Fourth Proportional to 844.88, 1,267.48 and 289.44

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Solution

The fourth proportional to 844.88, 1,267.48 and 289.44 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.88 : 1,267.48 = 289.44 : x
  2. Step 2: Convert to fraction form
    844.88/1,267.48 = 289.44/x
  3. Step 3: Cross multiply
    844.88x = 1,267.48 × 289.44
  4. Step 4: Simplify right side
    844.88x = 366,859.41
  5. Step 5: Solve for x
    x = 366,859.41/844.88
  6. Step 6: Final answer
    x = 434.21

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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.