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Finding the Fourth Proportional to 683.25, 944.13 and 486.42

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Solution

The fourth proportional to 683.25, 944.13 and 486.42 is: 672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.25 : 944.13 = 486.42 : x
  2. Step 2: Convert to fraction form
    683.25/944.13 = 486.42/x
  3. Step 3: Cross multiply
    683.25x = 944.13 × 486.42
  4. Step 4: Simplify right side
    683.25x = 459,241.28
  5. Step 5: Solve for x
    x = 459,241.28/683.25
  6. Step 6: Final answer
    x = 672.14

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