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Finding the Fourth Proportional to 533.62, 801.65 and 511.75

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Solution

The fourth proportional to 533.62, 801.65 and 511.75 is: 768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.62 : 801.65 = 511.75 : x
  2. Step 2: Convert to fraction form
    533.62/801.65 = 511.75/x
  3. Step 3: Cross multiply
    533.62x = 801.65 × 511.75
  4. Step 4: Simplify right side
    533.62x = 410,244.39
  5. Step 5: Solve for x
    x = 410,244.39/533.62
  6. Step 6: Final answer
    x = 768.79

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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.