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Finding the Fourth Proportional to 528.27, 791.68 and 284.31

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Solution

The fourth proportional to 528.27, 791.68 and 284.31 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.27 : 791.68 = 284.31 : x
  2. Step 2: Convert to fraction form
    528.27/791.68 = 284.31/x
  3. Step 3: Cross multiply
    528.27x = 791.68 × 284.31
  4. Step 4: Simplify right side
    528.27x = 225,082.54
  5. Step 5: Solve for x
    x = 225,082.54/528.27
  6. Step 6: Final answer
    x = 426.07

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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.