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Finding the Fourth Proportional to 677.97, 935.62 and 383.27

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Solution

The fourth proportional to 677.97, 935.62 and 383.27 is: 528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.97 : 935.62 = 383.27 : x
  2. Step 2: Convert to fraction form
    677.97/935.62 = 383.27/x
  3. Step 3: Cross multiply
    677.97x = 935.62 × 383.27
  4. Step 4: Simplify right side
    677.97x = 358,589.44
  5. Step 5: Solve for x
    x = 358,589.44/677.97
  6. Step 6: Final answer
    x = 528.92

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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.