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Finding the Fourth Proportional to 533.48, 799.52 and 350.78

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Solution

The fourth proportional to 533.48, 799.52 and 350.78 is: 525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.48 : 799.52 = 350.78 : x
  2. Step 2: Convert to fraction form
    533.48/799.52 = 350.78/x
  3. Step 3: Cross multiply
    533.48x = 799.52 × 350.78
  4. Step 4: Simplify right side
    533.48x = 280,449.87
  5. Step 5: Solve for x
    x = 280,449.87/533.48
  6. Step 6: Final answer
    x = 525.70

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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.