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Finding the Fourth Proportional to 527.97, 791.93 and 280.79

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Solution

The fourth proportional to 527.97, 791.93 and 280.79 is: 421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.97 : 791.93 = 280.79 : x
  2. Step 2: Convert to fraction form
    527.97/791.93 = 280.79/x
  3. Step 3: Cross multiply
    527.97x = 791.93 × 280.79
  4. Step 4: Simplify right side
    527.97x = 222,364.62
  5. Step 5: Solve for x
    x = 222,364.62/527.97
  6. Step 6: Final answer
    x = 421.17

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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.