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Finding the Fourth Proportional to 551.93, 828.09 and 519.33

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Solution

The fourth proportional to 551.93, 828.09 and 519.33 is: 779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.93 : 828.09 = 519.33 : x
  2. Step 2: Convert to fraction form
    551.93/828.09 = 519.33/x
  3. Step 3: Cross multiply
    551.93x = 828.09 × 519.33
  4. Step 4: Simplify right side
    551.93x = 430,049.46
  5. Step 5: Solve for x
    x = 430,049.46/551.93
  6. Step 6: Final answer
    x = 779.18

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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.