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Finding the Fourth Proportional to 552.68, 827.74 and 381.16

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Solution

The fourth proportional to 552.68, 827.74 and 381.16 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.68 : 827.74 = 381.16 : x
  2. Step 2: Convert to fraction form
    552.68/827.74 = 381.16/x
  3. Step 3: Cross multiply
    552.68x = 827.74 × 381.16
  4. Step 4: Simplify right side
    552.68x = 315,501.38
  5. Step 5: Solve for x
    x = 315,501.38/552.68
  6. Step 6: Final answer
    x = 570.86

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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.