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Finding the Fourth Proportional to 552.01, 825.99 and 511.12

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Solution

The fourth proportional to 552.01, 825.99 and 511.12 is: 764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.01 : 825.99 = 511.12 : x
  2. Step 2: Convert to fraction form
    552.01/825.99 = 511.12/x
  3. Step 3: Cross multiply
    552.01x = 825.99 × 511.12
  4. Step 4: Simplify right side
    552.01x = 422,180.01
  5. Step 5: Solve for x
    x = 422,180.01/552.01
  6. Step 6: Final answer
    x = 764.81

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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.