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Finding the Fourth Proportional to 548.19, 826.32 and 516.43

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Solution

The fourth proportional to 548.19, 826.32 and 516.43 is: 778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 826.32 = 516.43 : x
  2. Step 2: Convert to fraction form
    548.19/826.32 = 516.43/x
  3. Step 3: Cross multiply
    548.19x = 826.32 × 516.43
  4. Step 4: Simplify right side
    548.19x = 426,736.44
  5. Step 5: Solve for x
    x = 426,736.44/548.19
  6. Step 6: Final answer
    x = 778.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.