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Finding the Fourth Proportional to 533.72, 796.44 and 472.21

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Solution

The fourth proportional to 533.72, 796.44 and 472.21 is: 704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.72 : 796.44 = 472.21 : x
  2. Step 2: Convert to fraction form
    533.72/796.44 = 472.21/x
  3. Step 3: Cross multiply
    533.72x = 796.44 × 472.21
  4. Step 4: Simplify right side
    533.72x = 376,084.94
  5. Step 5: Solve for x
    x = 376,084.94/533.72
  6. Step 6: Final answer
    x = 704.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.