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Finding the Fourth Proportional to 552.52, 824.81 and 512.56

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Solution

The fourth proportional to 552.52, 824.81 and 512.56 is: 765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.52 : 824.81 = 512.56 : x
  2. Step 2: Convert to fraction form
    552.52/824.81 = 512.56/x
  3. Step 3: Cross multiply
    552.52x = 824.81 × 512.56
  4. Step 4: Simplify right side
    552.52x = 422,764.61
  5. Step 5: Solve for x
    x = 422,764.61/552.52
  6. Step 6: Final answer
    x = 765.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.