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Finding the Fourth Proportional to 683.14, 1,024.89 and 266.56

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Solution

The fourth proportional to 683.14, 1,024.89 and 266.56 is: 399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.14 : 1,024.89 = 266.56 : x
  2. Step 2: Convert to fraction form
    683.14/1,024.89 = 266.56/x
  3. Step 3: Cross multiply
    683.14x = 1,024.89 × 266.56
  4. Step 4: Simplify right side
    683.14x = 273,194.68
  5. Step 5: Solve for x
    x = 273,194.68/683.14
  6. Step 6: Final answer
    x = 399.91

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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.