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Finding the Fourth Proportional to 679.75, 938.13 and 414.25

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Solution

The fourth proportional to 679.75, 938.13 and 414.25 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.75 : 938.13 = 414.25 : x
  2. Step 2: Convert to fraction form
    679.75/938.13 = 414.25/x
  3. Step 3: Cross multiply
    679.75x = 938.13 × 414.25
  4. Step 4: Simplify right side
    679.75x = 388,620.35
  5. Step 5: Solve for x
    x = 388,620.35/679.75
  6. Step 6: Final answer
    x = 571.71

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1.5x scale

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.