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Finding the Fourth Proportional to 679.78, 938.37 and 514.03

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Solution

The fourth proportional to 679.78, 938.37 and 514.03 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.78 : 938.37 = 514.03 : x
  2. Step 2: Convert to fraction form
    679.78/938.37 = 514.03/x
  3. Step 3: Cross multiply
    679.78x = 938.37 × 514.03
  4. Step 4: Simplify right side
    679.78x = 482,350.33
  5. Step 5: Solve for x
    x = 482,350.33/679.78
  6. Step 6: Final answer
    x = 709.57

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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.