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Finding the Fourth Proportional to 533.09, 799.23 and 347.80

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Solution

The fourth proportional to 533.09, 799.23 and 347.80 is: 521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.09 : 799.23 = 347.80 : x
  2. Step 2: Convert to fraction form
    533.09/799.23 = 347.80/x
  3. Step 3: Cross multiply
    533.09x = 799.23 × 347.80
  4. Step 4: Simplify right side
    533.09x = 277,972.19
  5. Step 5: Solve for x
    x = 277,972.19/533.09
  6. Step 6: Final answer
    x = 521.44

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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.