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Finding the Fourth Proportional to 792.38, 1,183.26 and 683.03

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Solution

The fourth proportional to 792.38, 1,183.26 and 683.03 is: 1,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.38 : 1,183.26 = 683.03 : x
  2. Step 2: Convert to fraction form
    792.38/1,183.26 = 683.03/x
  3. Step 3: Cross multiply
    792.38x = 1,183.26 × 683.03
  4. Step 4: Simplify right side
    792.38x = 808,196.16
  5. Step 5: Solve for x
    x = 808,196.16/792.38
  6. Step 6: Final answer
    x = 1,019.97

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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.