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Finding the Fourth Proportional to 698.41, 963.83 and 403.61

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Solution

The fourth proportional to 698.41, 963.83 and 403.61 is: 556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.41 : 963.83 = 403.61 : x
  2. Step 2: Convert to fraction form
    698.41/963.83 = 403.61/x
  3. Step 3: Cross multiply
    698.41x = 963.83 × 403.61
  4. Step 4: Simplify right side
    698.41x = 389,007.62
  5. Step 5: Solve for x
    x = 389,007.62/698.41
  6. Step 6: Final answer
    x = 556.99

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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.