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Finding the Fourth Proportional to 793.04, 1,091.76 and 683.96

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Solution

The fourth proportional to 793.04, 1,091.76 and 683.96 is: 941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.04 : 1,091.76 = 683.96 : x
  2. Step 2: Convert to fraction form
    793.04/1,091.76 = 683.96/x
  3. Step 3: Cross multiply
    793.04x = 1,091.76 × 683.96
  4. Step 4: Simplify right side
    793.04x = 746,720.17
  5. Step 5: Solve for x
    x = 746,720.17/793.04
  6. Step 6: Final answer
    x = 941.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.