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Finding the Fourth Proportional to 533.11, 733.56 and 408.72

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Solution

The fourth proportional to 533.11, 733.56 and 408.72 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.11 : 733.56 = 408.72 : x
  2. Step 2: Convert to fraction form
    533.11/733.56 = 408.72/x
  3. Step 3: Cross multiply
    533.11x = 733.56 × 408.72
  4. Step 4: Simplify right side
    533.11x = 299,819.11
  5. Step 5: Solve for x
    x = 299,819.11/533.11
  6. Step 6: Final answer
    x = 562.40

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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.