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Finding the Fourth Proportional to 883.88, 1,326.36 and 519.38

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Solution

The fourth proportional to 883.88, 1,326.36 and 519.38 is: 779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.88 : 1,326.36 = 519.38 : x
  2. Step 2: Convert to fraction form
    883.88/1,326.36 = 519.38/x
  3. Step 3: Cross multiply
    883.88x = 1,326.36 × 519.38
  4. Step 4: Simplify right side
    883.88x = 688,884.86
  5. Step 5: Solve for x
    x = 688,884.86/883.88
  6. Step 6: Final answer
    x = 779.39

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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.