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Finding the Fourth Proportional to 698.71, 964.22 and 388.21

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Solution

The fourth proportional to 698.71, 964.22 and 388.21 is: 535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.71 : 964.22 = 388.21 : x
  2. Step 2: Convert to fraction form
    698.71/964.22 = 388.21/x
  3. Step 3: Cross multiply
    698.71x = 964.22 × 388.21
  4. Step 4: Simplify right side
    698.71x = 374,313.08
  5. Step 5: Solve for x
    x = 374,313.08/698.71
  6. Step 6: Final answer
    x = 535.72

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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.