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Finding the Fourth Proportional to 736.85, 1,103.72 and 694.29

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Solution

The fourth proportional to 736.85, 1,103.72 and 694.29 is: 1,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.85 : 1,103.72 = 694.29 : x
  2. Step 2: Convert to fraction form
    736.85/1,103.72 = 694.29/x
  3. Step 3: Cross multiply
    736.85x = 1,103.72 × 694.29
  4. Step 4: Simplify right side
    736.85x = 766,298.29
  5. Step 5: Solve for x
    x = 766,298.29/736.85
  6. Step 6: Final answer
    x = 1,039.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.