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Finding the Fourth Proportional to 527.93, 791.78 and 267.77

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Solution

The fourth proportional to 527.93, 791.78 and 267.77 is: 401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.93 : 791.78 = 267.77 : x
  2. Step 2: Convert to fraction form
    527.93/791.78 = 267.77/x
  3. Step 3: Cross multiply
    527.93x = 791.78 × 267.77
  4. Step 4: Simplify right side
    527.93x = 212,014.93
  5. Step 5: Solve for x
    x = 212,014.93/527.93
  6. Step 6: Final answer
    x = 401.60

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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.