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Finding the Fourth Proportional to 844.95, 1,266.84 and 433.29

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Solution

The fourth proportional to 844.95, 1,266.84 and 433.29 is: 649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.95 : 1,266.84 = 433.29 : x
  2. Step 2: Convert to fraction form
    844.95/1,266.84 = 433.29/x
  3. Step 3: Cross multiply
    844.95x = 1,266.84 × 433.29
  4. Step 4: Simplify right side
    844.95x = 548,909.10
  5. Step 5: Solve for x
    x = 548,909.10/844.95
  6. Step 6: Final answer
    x = 649.64

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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.