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Finding the Fourth Proportional to 552.05, 827.83 and 397.33

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Solution

The fourth proportional to 552.05, 827.83 and 397.33 is: 595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.05 : 827.83 = 397.33 : x
  2. Step 2: Convert to fraction form
    552.05/827.83 = 397.33/x
  3. Step 3: Cross multiply
    552.05x = 827.83 × 397.33
  4. Step 4: Simplify right side
    552.05x = 328,917.64
  5. Step 5: Solve for x
    x = 328,917.64/552.05
  6. Step 6: Final answer
    x = 595.81

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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.