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Finding the Fourth Proportional to 533.12, 793.84 and 519.36

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Solution

The fourth proportional to 533.12, 793.84 and 519.36 is: 773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 793.84 = 519.36 : x
  2. Step 2: Convert to fraction form
    533.12/793.84 = 519.36/x
  3. Step 3: Cross multiply
    533.12x = 793.84 × 519.36
  4. Step 4: Simplify right side
    533.12x = 412,288.74
  5. Step 5: Solve for x
    x = 412,288.74/533.12
  6. Step 6: Final answer
    x = 773.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.