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Finding the Fourth Proportional to 683.59, 944.07 and 537.34

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Solution

The fourth proportional to 683.59, 944.07 and 537.34 is: 742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.59 : 944.07 = 537.34 : x
  2. Step 2: Convert to fraction form
    683.59/944.07 = 537.34/x
  3. Step 3: Cross multiply
    683.59x = 944.07 × 537.34
  4. Step 4: Simplify right side
    683.59x = 507,286.57
  5. Step 5: Solve for x
    x = 507,286.57/683.59
  6. Step 6: Final answer
    x = 742.09

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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.