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Finding the Fourth Proportional to 698.20, 963.30 and 403.36

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Solution

The fourth proportional to 698.20, 963.30 and 403.36 is: 556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.20 : 963.30 = 403.36 : x
  2. Step 2: Convert to fraction form
    698.20/963.30 = 403.36/x
  3. Step 3: Cross multiply
    698.20x = 963.30 × 403.36
  4. Step 4: Simplify right side
    698.20x = 388,556.69
  5. Step 5: Solve for x
    x = 388,556.69/698.20
  6. Step 6: Final answer
    x = 556.51

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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.