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Finding the Fourth Proportional to 548.40, 822.82 and 527.42

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Solution

The fourth proportional to 548.40, 822.82 and 527.42 is: 791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 822.82 = 527.42 : x
  2. Step 2: Convert to fraction form
    548.40/822.82 = 527.42/x
  3. Step 3: Cross multiply
    548.40x = 822.82 × 527.42
  4. Step 4: Simplify right side
    548.40x = 433,971.72
  5. Step 5: Solve for x
    x = 433,971.72/548.40
  6. Step 6: Final answer
    x = 791.34

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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.