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Finding the Fourth Proportional to 533.87, 799.99 and 259.82

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Solution

The fourth proportional to 533.87, 799.99 and 259.82 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.87 : 799.99 = 259.82 : x
  2. Step 2: Convert to fraction form
    533.87/799.99 = 259.82/x
  3. Step 3: Cross multiply
    533.87x = 799.99 × 259.82
  4. Step 4: Simplify right side
    533.87x = 207,851.75
  5. Step 5: Solve for x
    x = 207,851.75/533.87
  6. Step 6: Final answer
    x = 389.33

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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.