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Finding the Fourth Proportional to 698.69, 963.86 and 418.79

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Solution

The fourth proportional to 698.69, 963.86 and 418.79 is: 577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.69 : 963.86 = 418.79 : x
  2. Step 2: Convert to fraction form
    698.69/963.86 = 418.79/x
  3. Step 3: Cross multiply
    698.69x = 963.86 × 418.79
  4. Step 4: Simplify right side
    698.69x = 403,654.93
  5. Step 5: Solve for x
    x = 403,654.93/698.69
  6. Step 6: Final answer
    x = 577.73

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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.