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Finding the Fourth Proportional to 698.20, 963.64 and 403.54

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Solution

The fourth proportional to 698.20, 963.64 and 403.54 is: 556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.20 : 963.64 = 403.54 : x
  2. Step 2: Convert to fraction form
    698.20/963.64 = 403.54/x
  3. Step 3: Cross multiply
    698.20x = 963.64 × 403.54
  4. Step 4: Simplify right side
    698.20x = 388,867.29
  5. Step 5: Solve for x
    x = 388,867.29/698.20
  6. Step 6: Final answer
    x = 556.96

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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.