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Finding the Fourth Proportional to 548.69, 826.24 and 395.67

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Solution

The fourth proportional to 548.69, 826.24 and 395.67 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.69 : 826.24 = 395.67 : x
  2. Step 2: Convert to fraction form
    548.69/826.24 = 395.67/x
  3. Step 3: Cross multiply
    548.69x = 826.24 × 395.67
  4. Step 4: Simplify right side
    548.69x = 326,918.38
  5. Step 5: Solve for x
    x = 326,918.38/548.69
  6. Step 6: Final answer
    x = 595.82

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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.