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Finding the Fourth Proportional to 548.18, 825.49 and 395.17

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Solution

The fourth proportional to 548.18, 825.49 and 395.17 is: 595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.18 : 825.49 = 395.17 : x
  2. Step 2: Convert to fraction form
    548.18/825.49 = 395.17/x
  3. Step 3: Cross multiply
    548.18x = 825.49 × 395.17
  4. Step 4: Simplify right side
    548.18x = 326,205.83
  5. Step 5: Solve for x
    x = 326,205.83/548.18
  6. Step 6: Final answer
    x = 595.07

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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.