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Finding the Fourth Proportional to 548, 822 and 519.92

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Solution

The fourth proportional to 548, 822 and 519.92 is: 779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    548 : 822 = 519.92 : x
  2. Step 2: Convert to fraction form
    548/822 = 519.92/x
  3. Step 3: Cross multiply
    548x = 822 × 519.92
  4. Step 4: Simplify right side
    548x = 427,374.24
  5. Step 5: Solve for x
    x = 427,374.24/548
  6. Step 6: Final answer
    x = 779.88

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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.