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Finding the Fourth Proportional to 683.09, 942.31 and 462.12

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Solution

The fourth proportional to 683.09, 942.31 and 462.12 is: 637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.09 : 942.31 = 462.12 : x
  2. Step 2: Convert to fraction form
    683.09/942.31 = 462.12/x
  3. Step 3: Cross multiply
    683.09x = 942.31 × 462.12
  4. Step 4: Simplify right side
    683.09x = 435,460.30
  5. Step 5: Solve for x
    x = 435,460.30/683.09
  6. Step 6: Final answer
    x = 637.49

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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.