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Finding the Fourth Proportional to 683.10, 942.89 and 403.31

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Solution

The fourth proportional to 683.10, 942.89 and 403.31 is: 556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.10 : 942.89 = 403.31 : x
  2. Step 2: Convert to fraction form
    683.10/942.89 = 403.31/x
  3. Step 3: Cross multiply
    683.10x = 942.89 × 403.31
  4. Step 4: Simplify right side
    683.10x = 380,276.97
  5. Step 5: Solve for x
    x = 380,276.97/683.10
  6. Step 6: Final answer
    x = 556.69

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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.