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Finding the Fourth Proportional to 844.87, 1,266.09 and 478.75

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Solution

The fourth proportional to 844.87, 1,266.09 and 478.75 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.87 : 1,266.09 = 478.75 : x
  2. Step 2: Convert to fraction form
    844.87/1,266.09 = 478.75/x
  3. Step 3: Cross multiply
    844.87x = 1,266.09 × 478.75
  4. Step 4: Simplify right side
    844.87x = 606,140.59
  5. Step 5: Solve for x
    x = 606,140.59/844.87
  6. Step 6: Final answer
    x = 717.44

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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.