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Finding the Fourth Proportional to 698.73, 964.20 and 399.96

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Solution

The fourth proportional to 698.73, 964.20 and 399.96 is: 551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.73 : 964.20 = 399.96 : x
  2. Step 2: Convert to fraction form
    698.73/964.20 = 399.96/x
  3. Step 3: Cross multiply
    698.73x = 964.20 × 399.96
  4. Step 4: Simplify right side
    698.73x = 385,641.43
  5. Step 5: Solve for x
    x = 385,641.43/698.73
  6. Step 6: Final answer
    x = 551.92

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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.