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Finding the Fourth Proportional to 679.97, 938.21 and 414.34

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Solution

The fourth proportional to 679.97, 938.21 and 414.34 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.97 : 938.21 = 414.34 : x
  2. Step 2: Convert to fraction form
    679.97/938.21 = 414.34/x
  3. Step 3: Cross multiply
    679.97x = 938.21 × 414.34
  4. Step 4: Simplify right side
    679.97x = 388,733.51
  5. Step 5: Solve for x
    x = 388,733.51/679.97
  6. Step 6: Final answer
    x = 571.69

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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.