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Finding the Fourth Proportional to 844.78, 1,266.78 and 324.88

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Solution

The fourth proportional to 844.78, 1,266.78 and 324.88 is: 487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.78 : 1,266.78 = 324.88 : x
  2. Step 2: Convert to fraction form
    844.78/1,266.78 = 324.88/x
  3. Step 3: Cross multiply
    844.78x = 1,266.78 × 324.88
  4. Step 4: Simplify right side
    844.78x = 411,551.49
  5. Step 5: Solve for x
    x = 411,551.49/844.78
  6. Step 6: Final answer
    x = 487.17

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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.