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Finding the Fourth Proportional to 885.26, 1,329.68 and 519.82

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Solution

The fourth proportional to 885.26, 1,329.68 and 519.82 is: 780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.26 : 1,329.68 = 519.82 : x
  2. Step 2: Convert to fraction form
    885.26/1,329.68 = 519.82/x
  3. Step 3: Cross multiply
    885.26x = 1,329.68 × 519.82
  4. Step 4: Simplify right side
    885.26x = 691,192.23
  5. Step 5: Solve for x
    x = 691,192.23/885.26
  6. Step 6: Final answer
    x = 780.78

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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.