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Finding the Fourth Proportional to 527.52, 791.01 and 280.87

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Solution

The fourth proportional to 527.52, 791.01 and 280.87 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.52 : 791.01 = 280.87 : x
  2. Step 2: Convert to fraction form
    527.52/791.01 = 280.87/x
  3. Step 3: Cross multiply
    527.52x = 791.01 × 280.87
  4. Step 4: Simplify right side
    527.52x = 222,170.01
  5. Step 5: Solve for x
    x = 222,170.01/527.52
  6. Step 6: Final answer
    x = 421.16

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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.