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Finding the Fourth Proportional to 727.57, 996.76 and 699.83

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Solution

The fourth proportional to 727.57, 996.76 and 699.83 is: 958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.57 : 996.76 = 699.83 : x
  2. Step 2: Convert to fraction form
    727.57/996.76 = 699.83/x
  3. Step 3: Cross multiply
    727.57x = 996.76 × 699.83
  4. Step 4: Simplify right side
    727.57x = 697,562.55
  5. Step 5: Solve for x
    x = 697,562.55/727.57
  6. Step 6: Final answer
    x = 958.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.