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Finding the Fourth Proportional to 729.24, 1,086.38 and 694.41

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Solution

The fourth proportional to 729.24, 1,086.38 and 694.41 is: 1,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.24 : 1,086.38 = 694.41 : x
  2. Step 2: Convert to fraction form
    729.24/1,086.38 = 694.41/x
  3. Step 3: Cross multiply
    729.24x = 1,086.38 × 694.41
  4. Step 4: Simplify right side
    729.24x = 754,388.19
  5. Step 5: Solve for x
    x = 754,388.19/729.24
  6. Step 6: Final answer
    x = 1,034.49

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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.