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Finding the Fourth Proportional to 683.97, 1,024.19 and 568.09

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Solution

The fourth proportional to 683.97, 1,024.19 and 568.09 is: 850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.97 : 1,024.19 = 568.09 : x
  2. Step 2: Convert to fraction form
    683.97/1,024.19 = 568.09/x
  3. Step 3: Cross multiply
    683.97x = 1,024.19 × 568.09
  4. Step 4: Simplify right side
    683.97x = 581,832.98
  5. Step 5: Solve for x
    x = 581,832.98/683.97
  6. Step 6: Final answer
    x = 850.67

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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.