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Finding the Fourth Proportional to 698.43, 963.71 and 474.55

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Solution

The fourth proportional to 698.43, 963.71 and 474.55 is: 654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.43 : 963.71 = 474.55 : x
  2. Step 2: Convert to fraction form
    698.43/963.71 = 474.55/x
  3. Step 3: Cross multiply
    698.43x = 963.71 × 474.55
  4. Step 4: Simplify right side
    698.43x = 457,322.90
  5. Step 5: Solve for x
    x = 457,322.90/698.43
  6. Step 6: Final answer
    x = 654.78

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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.