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Finding the Fourth Proportional to 859.98, 1,185.99 and 727.48

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Solution

The fourth proportional to 859.98, 1,185.99 and 727.48 is: 1,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.98 : 1,185.99 = 727.48 : x
  2. Step 2: Convert to fraction form
    859.98/1,185.99 = 727.48/x
  3. Step 3: Cross multiply
    859.98x = 1,185.99 × 727.48
  4. Step 4: Simplify right side
    859.98x = 862,781.04
  5. Step 5: Solve for x
    x = 862,781.04/859.98
  6. Step 6: Final answer
    x = 1,003.26

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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.