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Finding the Fourth Proportional to 683.79, 944.50 and 573.83

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Solution

The fourth proportional to 683.79, 944.50 and 573.83 is: 792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.79 : 944.50 = 573.83 : x
  2. Step 2: Convert to fraction form
    683.79/944.50 = 573.83/x
  3. Step 3: Cross multiply
    683.79x = 944.50 × 573.83
  4. Step 4: Simplify right side
    683.79x = 541,982.44
  5. Step 5: Solve for x
    x = 541,982.44/683.79
  6. Step 6: Final answer
    x = 792.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.