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Finding the Fourth Proportional to 533.84, 795.70 and 519.20

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Solution

The fourth proportional to 533.84, 795.70 and 519.20 is: 773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 795.70 = 519.20 : x
  2. Step 2: Convert to fraction form
    533.84/795.70 = 519.20/x
  3. Step 3: Cross multiply
    533.84x = 795.70 × 519.20
  4. Step 4: Simplify right side
    533.84x = 413,127.44
  5. Step 5: Solve for x
    x = 413,127.44/533.84
  6. Step 6: Final answer
    x = 773.88

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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.