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Finding the Fourth Proportional to 677.82, 935.35 and 398.24

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Solution

The fourth proportional to 677.82, 935.35 and 398.24 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.82 : 935.35 = 398.24 : x
  2. Step 2: Convert to fraction form
    677.82/935.35 = 398.24/x
  3. Step 3: Cross multiply
    677.82x = 935.35 × 398.24
  4. Step 4: Simplify right side
    677.82x = 372,488.11
  5. Step 5: Solve for x
    x = 372,488.11/677.82
  6. Step 6: Final answer
    x = 549.54

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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.