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Finding the Fourth Proportional to 677.17, 934.44 and 382.42

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Solution

The fourth proportional to 677.17, 934.44 and 382.42 is: 527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.17 : 934.44 = 382.42 : x
  2. Step 2: Convert to fraction form
    677.17/934.44 = 382.42/x
  3. Step 3: Cross multiply
    677.17x = 934.44 × 382.42
  4. Step 4: Simplify right side
    677.17x = 357,348.54
  5. Step 5: Solve for x
    x = 357,348.54/677.17
  6. Step 6: Final answer
    x = 527.71

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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.