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Finding the Fourth Proportional to 844.54, 1,266.88 and 433.42

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Solution

The fourth proportional to 844.54, 1,266.88 and 433.42 is: 650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.54 : 1,266.88 = 433.42 : x
  2. Step 2: Convert to fraction form
    844.54/1,266.88 = 433.42/x
  3. Step 3: Cross multiply
    844.54x = 1,266.88 × 433.42
  4. Step 4: Simplify right side
    844.54x = 549,091.13
  5. Step 5: Solve for x
    x = 549,091.13/844.54
  6. Step 6: Final answer
    x = 650.17

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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.