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Finding the Fourth Proportional to 527.75, 791.96 and 253.87

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Solution

The fourth proportional to 527.75, 791.96 and 253.87 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 791.96 = 253.87 : x
  2. Step 2: Convert to fraction form
    527.75/791.96 = 253.87/x
  3. Step 3: Cross multiply
    527.75x = 791.96 × 253.87
  4. Step 4: Simplify right side
    527.75x = 201,053.12
  5. Step 5: Solve for x
    x = 201,053.12/527.75
  6. Step 6: Final answer
    x = 380.96

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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.