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Finding the Fourth Proportional to 527.71, 791.40 and 280.77

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Solution

The fourth proportional to 527.71, 791.40 and 280.77 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.71 : 791.40 = 280.77 : x
  2. Step 2: Convert to fraction form
    527.71/791.40 = 280.77/x
  3. Step 3: Cross multiply
    527.71x = 791.40 × 280.77
  4. Step 4: Simplify right side
    527.71x = 222,201.38
  5. Step 5: Solve for x
    x = 222,201.38/527.71
  6. Step 6: Final answer
    x = 421.07

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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.