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Finding the Fourth Proportional to 533.62, 738.84 and 523.90

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Solution

The fourth proportional to 533.62, 738.84 and 523.90 is: 725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.62 : 738.84 = 523.90 : x
  2. Step 2: Convert to fraction form
    533.62/738.84 = 523.90/x
  3. Step 3: Cross multiply
    533.62x = 738.84 × 523.90
  4. Step 4: Simplify right side
    533.62x = 387,078.28
  5. Step 5: Solve for x
    x = 387,078.28/533.62
  6. Step 6: Final answer
    x = 725.38

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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.