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Finding the Fourth Proportional to 527.57, 791 and 284.27

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Solution

The fourth proportional to 527.57, 791 and 284.27 is: 426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.57 : 791 = 284.27 : x
  2. Step 2: Convert to fraction form
    527.57/791 = 284.27/x
  3. Step 3: Cross multiply
    527.57x = 791 × 284.27
  4. Step 4: Simplify right side
    527.57x = 224,853.62
  5. Step 5: Solve for x
    x = 224,853.62/527.57
  6. Step 6: Final answer
    x = 426.21

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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.