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Finding the Fourth Proportional to 882.07, 1,323.11 and 519.39

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Solution

The fourth proportional to 882.07, 1,323.11 and 519.39 is: 779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.07 : 1,323.11 = 519.39 : x
  2. Step 2: Convert to fraction form
    882.07/1,323.11 = 519.39/x
  3. Step 3: Cross multiply
    882.07x = 1,323.11 × 519.39
  4. Step 4: Simplify right side
    882.07x = 687,207.51
  5. Step 5: Solve for x
    x = 687,207.51/882.07
  6. Step 6: Final answer
    x = 779.09

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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.