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Finding the Fourth Proportional to 677.11, 934.41 and 382.45

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Solution

The fourth proportional to 677.11, 934.41 and 382.45 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 934.41 = 382.45 : x
  2. Step 2: Convert to fraction form
    677.11/934.41 = 382.45/x
  3. Step 3: Cross multiply
    677.11x = 934.41 × 382.45
  4. Step 4: Simplify right side
    677.11x = 357,365.95
  5. Step 5: Solve for x
    x = 357,365.95/677.11
  6. Step 6: Final answer
    x = 527.78

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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.