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Finding the Fourth Proportional to 736.83, 1,103.49 and 683.37

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Solution

The fourth proportional to 736.83, 1,103.49 and 683.37 is: 1,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.83 : 1,103.49 = 683.37 : x
  2. Step 2: Convert to fraction form
    736.83/1,103.49 = 683.37/x
  3. Step 3: Cross multiply
    736.83x = 1,103.49 × 683.37
  4. Step 4: Simplify right side
    736.83x = 754,091.96
  5. Step 5: Solve for x
    x = 754,091.96/736.83
  6. Step 6: Final answer
    x = 1,023.43

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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.