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Finding the Fourth Proportional to 683.11, 943.08 and 450.64

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Solution

The fourth proportional to 683.11, 943.08 and 450.64 is: 622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.11 : 943.08 = 450.64 : x
  2. Step 2: Convert to fraction form
    683.11/943.08 = 450.64/x
  3. Step 3: Cross multiply
    683.11x = 943.08 × 450.64
  4. Step 4: Simplify right side
    683.11x = 424,982.60
  5. Step 5: Solve for x
    x = 424,982.60/683.11
  6. Step 6: Final answer
    x = 622.13

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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.