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Finding the Fourth Proportional to 547.22, 825.10 and 540.38

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Solution

The fourth proportional to 547.22, 825.10 and 540.38 is: 814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 825.10 = 540.38 : x
  2. Step 2: Convert to fraction form
    547.22/825.10 = 540.38/x
  3. Step 3: Cross multiply
    547.22x = 825.10 × 540.38
  4. Step 4: Simplify right side
    547.22x = 445,867.54
  5. Step 5: Solve for x
    x = 445,867.54/547.22
  6. Step 6: Final answer
    x = 814.79

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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.