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Finding the Fourth Proportional to 533.82, 736.20 and 409.26

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Solution

The fourth proportional to 533.82, 736.20 and 409.26 is: 564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.82 : 736.20 = 409.26 : x
  2. Step 2: Convert to fraction form
    533.82/736.20 = 409.26/x
  3. Step 3: Cross multiply
    533.82x = 736.20 × 409.26
  4. Step 4: Simplify right side
    533.82x = 301,297.21
  5. Step 5: Solve for x
    x = 301,297.21/533.82
  6. Step 6: Final answer
    x = 564.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.