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Finding the Fourth Proportional to 844.22, 1,164.54 and 545.42

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Solution

The fourth proportional to 844.22, 1,164.54 and 545.42 is: 752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.22 : 1,164.54 = 545.42 : x
  2. Step 2: Convert to fraction form
    844.22/1,164.54 = 545.42/x
  3. Step 3: Cross multiply
    844.22x = 1,164.54 × 545.42
  4. Step 4: Simplify right side
    844.22x = 635,163.41
  5. Step 5: Solve for x
    x = 635,163.41/844.22
  6. Step 6: Final answer
    x = 752.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.