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Finding the Fourth Proportional to 729, 996.30 and 694.98

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Solution

The fourth proportional to 729, 996.30 and 694.98 is: 949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 996.30 = 694.98 : x
  2. Step 2: Convert to fraction form
    729/996.30 = 694.98/x
  3. Step 3: Cross multiply
    729x = 996.30 × 694.98
  4. Step 4: Simplify right side
    729x = 692,408.57
  5. Step 5: Solve for x
    x = 692,408.57/729
  6. Step 6: Final answer
    x = 949.81

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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.