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Finding the Fourth Proportional to 552.22, 767.41 and 545.33

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Solution

The fourth proportional to 552.22, 767.41 and 545.33 is: 757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.22 : 767.41 = 545.33 : x
  2. Step 2: Convert to fraction form
    552.22/767.41 = 545.33/x
  3. Step 3: Cross multiply
    552.22x = 767.41 × 545.33
  4. Step 4: Simplify right side
    552.22x = 418,488.97
  5. Step 5: Solve for x
    x = 418,488.97/552.22
  6. Step 6: Final answer
    x = 757.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.