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Finding the Fourth Proportional to 533.34, 731.21 and 523.62

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Solution

The fourth proportional to 533.34, 731.21 and 523.62 is: 717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.34 : 731.21 = 523.62 : x
  2. Step 2: Convert to fraction form
    533.34/731.21 = 523.62/x
  3. Step 3: Cross multiply
    533.34x = 731.21 × 523.62
  4. Step 4: Simplify right side
    533.34x = 382,876.18
  5. Step 5: Solve for x
    x = 382,876.18/533.34
  6. Step 6: Final answer
    x = 717.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.