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Finding the Fourth Proportional to 683.39, 1,024.76 and 196.31

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Solution

The fourth proportional to 683.39, 1,024.76 and 196.31 is: 294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.39 : 1,024.76 = 196.31 : x
  2. Step 2: Convert to fraction form
    683.39/1,024.76 = 196.31/x
  3. Step 3: Cross multiply
    683.39x = 1,024.76 × 196.31
  4. Step 4: Simplify right side
    683.39x = 201,173.69
  5. Step 5: Solve for x
    x = 201,173.69/683.39
  6. Step 6: Final answer
    x = 294.38

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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.