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Finding the Fourth Proportional to 799.25, 1,193.25 and 683.74

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Solution

The fourth proportional to 799.25, 1,193.25 and 683.74 is: 1,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.25 : 1,193.25 = 683.74 : x
  2. Step 2: Convert to fraction form
    799.25/1,193.25 = 683.74/x
  3. Step 3: Cross multiply
    799.25x = 1,193.25 × 683.74
  4. Step 4: Simplify right side
    799.25x = 815,872.76
  5. Step 5: Solve for x
    x = 815,872.76/799.25
  6. Step 6: Final answer
    x = 1,020.80

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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.