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Finding the Fourth Proportional to 729.79, 1,087.22 and 694.96

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Solution

The fourth proportional to 729.79, 1,087.22 and 694.96 is: 1,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.79 : 1,087.22 = 694.96 : x
  2. Step 2: Convert to fraction form
    729.79/1,087.22 = 694.96/x
  3. Step 3: Cross multiply
    729.79x = 1,087.22 × 694.96
  4. Step 4: Simplify right side
    729.79x = 755,570.94
  5. Step 5: Solve for x
    x = 755,570.94/729.79
  6. Step 6: Final answer
    x = 1,035.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.