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Finding the Fourth Proportional to 527.33, 791.46 and 277.34

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Solution

The fourth proportional to 527.33, 791.46 and 277.34 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.33 : 791.46 = 277.34 : x
  2. Step 2: Convert to fraction form
    527.33/791.46 = 277.34/x
  3. Step 3: Cross multiply
    527.33x = 791.46 × 277.34
  4. Step 4: Simplify right side
    527.33x = 219,499.56
  5. Step 5: Solve for x
    x = 219,499.56/527.33
  6. Step 6: Final answer
    x = 416.25

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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.