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Finding the Fourth Proportional to 819.36, 1,229.45 and 711.63

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Solution

The fourth proportional to 819.36, 1,229.45 and 711.63 is: 1,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.36 : 1,229.45 = 711.63 : x
  2. Step 2: Convert to fraction form
    819.36/1,229.45 = 711.63/x
  3. Step 3: Cross multiply
    819.36x = 1,229.45 × 711.63
  4. Step 4: Simplify right side
    819.36x = 874,909.95
  5. Step 5: Solve for x
    x = 874,909.95/819.36
  6. Step 6: Final answer
    x = 1,067.80

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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.