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Finding the Fourth Proportional to 677.97, 935.65 and 379.25

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Solution

The fourth proportional to 677.97, 935.65 and 379.25 is: 523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.97 : 935.65 = 379.25 : x
  2. Step 2: Convert to fraction form
    677.97/935.65 = 379.25/x
  3. Step 3: Cross multiply
    677.97x = 935.65 × 379.25
  4. Step 4: Simplify right side
    677.97x = 354,840.58
  5. Step 5: Solve for x
    x = 354,840.58/677.97
  6. Step 6: Final answer
    x = 523.39

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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.