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Finding the Fourth Proportional to 552.11, 816.61 and 552.11

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Solution

The fourth proportional to 552.11, 816.61 and 552.11 is: 816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.11 : 816.61 = 552.11 : x
  2. Step 2: Convert to fraction form
    552.11/816.61 = 552.11/x
  3. Step 3: Cross multiply
    552.11x = 816.61 × 552.11
  4. Step 4: Simplify right side
    552.11x = 450,858.55
  5. Step 5: Solve for x
    x = 450,858.55/552.11
  6. Step 6: Final answer
    x = 816.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.