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Finding the Fourth Proportional to 683.28, 941.80 and 516.72

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Solution

The fourth proportional to 683.28, 941.80 and 516.72 is: 712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 941.80 = 516.72 : x
  2. Step 2: Convert to fraction form
    683.28/941.80 = 516.72/x
  3. Step 3: Cross multiply
    683.28x = 941.80 × 516.72
  4. Step 4: Simplify right side
    683.28x = 486,646.90
  5. Step 5: Solve for x
    x = 486,646.90/683.28
  6. Step 6: Final answer
    x = 712.22

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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.