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Finding the Fourth Proportional to 533.91, 800.75 and 452.55

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Solution

The fourth proportional to 533.91, 800.75 and 452.55 is: 678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.91 : 800.75 = 452.55 : x
  2. Step 2: Convert to fraction form
    533.91/800.75 = 452.55/x
  3. Step 3: Cross multiply
    533.91x = 800.75 × 452.55
  4. Step 4: Simplify right side
    533.91x = 362,377.15
  5. Step 5: Solve for x
    x = 362,377.15/533.91
  6. Step 6: Final answer
    x = 678.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.