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Finding the Fourth Proportional to 828.32, 1,239.93 and 519.09

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Solution

The fourth proportional to 828.32, 1,239.93 and 519.09 is: 777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.32 : 1,239.93 = 519.09 : x
  2. Step 2: Convert to fraction form
    828.32/1,239.93 = 519.09/x
  3. Step 3: Cross multiply
    828.32x = 1,239.93 × 519.09
  4. Step 4: Simplify right side
    828.32x = 643,635.26
  5. Step 5: Solve for x
    x = 643,635.26/828.32
  6. Step 6: Final answer
    x = 777.04

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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.