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Finding the Fourth Proportional to 698.20, 963.22 and 477.48

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Solution

The fourth proportional to 698.20, 963.22 and 477.48 is: 658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.20 : 963.22 = 477.48 : x
  2. Step 2: Convert to fraction form
    698.20/963.22 = 477.48/x
  3. Step 3: Cross multiply
    698.20x = 963.22 × 477.48
  4. Step 4: Simplify right side
    698.20x = 459,918.29
  5. Step 5: Solve for x
    x = 459,918.29/698.20
  6. Step 6: Final answer
    x = 658.72

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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.