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Finding the Fourth Proportional to 683.01, 942.23 and 403.26

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Solution

The fourth proportional to 683.01, 942.23 and 403.26 is: 556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.01 : 942.23 = 403.26 : x
  2. Step 2: Convert to fraction form
    683.01/942.23 = 403.26/x
  3. Step 3: Cross multiply
    683.01x = 942.23 × 403.26
  4. Step 4: Simplify right side
    683.01x = 379,961.65
  5. Step 5: Solve for x
    x = 379,961.65/683.01
  6. Step 6: Final answer
    x = 556.30

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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.