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Finding the Fourth Proportional to 552.73, 827.90 and 537.37

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Solution

The fourth proportional to 552.73, 827.90 and 537.37 is: 804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.73 : 827.90 = 537.37 : x
  2. Step 2: Convert to fraction form
    552.73/827.90 = 537.37/x
  3. Step 3: Cross multiply
    552.73x = 827.90 × 537.37
  4. Step 4: Simplify right side
    552.73x = 444,885.94
  5. Step 5: Solve for x
    x = 444,885.94/552.73
  6. Step 6: Final answer
    x = 804.89

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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.