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Finding the Fourth Proportional to 819.09, 1,127.73 and 694.47

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Solution

The fourth proportional to 819.09, 1,127.73 and 694.47 is: 956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.09 : 1,127.73 = 694.47 : x
  2. Step 2: Convert to fraction form
    819.09/1,127.73 = 694.47/x
  3. Step 3: Cross multiply
    819.09x = 1,127.73 × 694.47
  4. Step 4: Simplify right side
    819.09x = 783,174.65
  5. Step 5: Solve for x
    x = 783,174.65/819.09
  6. Step 6: Final answer
    x = 956.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.