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Finding the Fourth Proportional to 844.62, 1,266.93 and 674.70

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Solution

The fourth proportional to 844.62, 1,266.93 and 674.70 is: 1,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.62 : 1,266.93 = 674.70 : x
  2. Step 2: Convert to fraction form
    844.62/1,266.93 = 674.70/x
  3. Step 3: Cross multiply
    844.62x = 1,266.93 × 674.70
  4. Step 4: Simplify right side
    844.62x = 854,797.67
  5. Step 5: Solve for x
    x = 854,797.67/844.62
  6. Step 6: Final answer
    x = 1,012.05

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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.