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Finding the Fourth Proportional to 533.73, 736.49 and 393.92

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Solution

The fourth proportional to 533.73, 736.49 and 393.92 is: 543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.73 : 736.49 = 393.92 : x
  2. Step 2: Convert to fraction form
    533.73/736.49 = 393.92/x
  3. Step 3: Cross multiply
    533.73x = 736.49 × 393.92
  4. Step 4: Simplify right side
    533.73x = 290,118.14
  5. Step 5: Solve for x
    x = 290,118.14/533.73
  6. Step 6: Final answer
    x = 543.57

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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.