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Finding the Fourth Proportional to 683.09, 943.02 and 421.25

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Solution

The fourth proportional to 683.09, 943.02 and 421.25 is: 581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.09 : 943.02 = 421.25 : x
  2. Step 2: Convert to fraction form
    683.09/943.02 = 421.25/x
  3. Step 3: Cross multiply
    683.09x = 943.02 × 421.25
  4. Step 4: Simplify right side
    683.09x = 397,247.18
  5. Step 5: Solve for x
    x = 397,247.18/683.09
  6. Step 6: Final answer
    x = 581.54

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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.