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Finding the Fourth Proportional to 844.45, 1,266.97 and 433.78

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Solution

The fourth proportional to 844.45, 1,266.97 and 433.78 is: 650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.45 : 1,266.97 = 433.78 : x
  2. Step 2: Convert to fraction form
    844.45/1,266.97 = 433.78/x
  3. Step 3: Cross multiply
    844.45x = 1,266.97 × 433.78
  4. Step 4: Simplify right side
    844.45x = 549,586.25
  5. Step 5: Solve for x
    x = 549,586.25/844.45
  6. Step 6: Final answer
    x = 650.82

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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.