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Finding the Fourth Proportional to 843.72, 1,266.54 and 566.28

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Solution

The fourth proportional to 843.72, 1,266.54 and 566.28 is: 850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.72 : 1,266.54 = 566.28 : x
  2. Step 2: Convert to fraction form
    843.72/1,266.54 = 566.28/x
  3. Step 3: Cross multiply
    843.72x = 1,266.54 × 566.28
  4. Step 4: Simplify right side
    843.72x = 717,216.27
  5. Step 5: Solve for x
    x = 717,216.27/843.72
  6. Step 6: Final answer
    x = 850.06

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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.