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Finding the Fourth Proportional to 683.02, 942.31 and 403.22

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Solution

The fourth proportional to 683.02, 942.31 and 403.22 is: 556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.02 : 942.31 = 403.22 : x
  2. Step 2: Convert to fraction form
    683.02/942.31 = 403.22/x
  3. Step 3: Cross multiply
    683.02x = 942.31 × 403.22
  4. Step 4: Simplify right side
    683.02x = 379,958.24
  5. Step 5: Solve for x
    x = 379,958.24/683.02
  6. Step 6: Final answer
    x = 556.29

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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.