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Finding the Fourth Proportional to 552.10, 826.53 and 408.46

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Solution

The fourth proportional to 552.10, 826.53 and 408.46 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.10 : 826.53 = 408.46 : x
  2. Step 2: Convert to fraction form
    552.10/826.53 = 408.46/x
  3. Step 3: Cross multiply
    552.10x = 826.53 × 408.46
  4. Step 4: Simplify right side
    552.10x = 337,604.44
  5. Step 5: Solve for x
    x = 337,604.44/552.10
  6. Step 6: Final answer
    x = 611.49

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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.