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Finding the Fourth Proportional to 683.22, 1,021.50 and 581.70

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Solution

The fourth proportional to 683.22, 1,021.50 and 581.70 is: 869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.22 : 1,021.50 = 581.70 : x
  2. Step 2: Convert to fraction form
    683.22/1,021.50 = 581.70/x
  3. Step 3: Cross multiply
    683.22x = 1,021.50 × 581.70
  4. Step 4: Simplify right side
    683.22x = 594,206.55
  5. Step 5: Solve for x
    x = 594,206.55/683.22
  6. Step 6: Final answer
    x = 869.71

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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.