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Finding the Fourth Proportional to 859.99, 1,185.73 and 726.97

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Solution

The fourth proportional to 859.99, 1,185.73 and 726.97 is: 1,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 1,185.73 = 726.97 : x
  2. Step 2: Convert to fraction form
    859.99/1,185.73 = 726.97/x
  3. Step 3: Cross multiply
    859.99x = 1,185.73 × 726.97
  4. Step 4: Simplify right side
    859.99x = 861,990.14
  5. Step 5: Solve for x
    x = 861,990.14/859.99
  6. Step 6: Final answer
    x = 1,002.33

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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.