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Finding the Fourth Proportional to 528.64, 791.12 and 366.44

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Solution

The fourth proportional to 528.64, 791.12 and 366.44 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.64 : 791.12 = 366.44 : x
  2. Step 2: Convert to fraction form
    528.64/791.12 = 366.44/x
  3. Step 3: Cross multiply
    528.64x = 791.12 × 366.44
  4. Step 4: Simplify right side
    528.64x = 289,898.01
  5. Step 5: Solve for x
    x = 289,898.01/528.64
  6. Step 6: Final answer
    x = 548.38

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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.