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Finding the Fourth Proportional to 527.78, 791.97 and 293.54

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Solution

The fourth proportional to 527.78, 791.97 and 293.54 is: 440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 791.97 = 293.54 : x
  2. Step 2: Convert to fraction form
    527.78/791.97 = 293.54/x
  3. Step 3: Cross multiply
    527.78x = 791.97 × 293.54
  4. Step 4: Simplify right side
    527.78x = 232,474.87
  5. Step 5: Solve for x
    x = 232,474.87/527.78
  6. Step 6: Final answer
    x = 440.48

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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.