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Finding the Fourth Proportional to 698.58, 963.99 and 399.86

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Solution

The fourth proportional to 698.58, 963.99 and 399.86 is: 551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.58 : 963.99 = 399.86 : x
  2. Step 2: Convert to fraction form
    698.58/963.99 = 399.86/x
  3. Step 3: Cross multiply
    698.58x = 963.99 × 399.86
  4. Step 4: Simplify right side
    698.58x = 385,456.22
  5. Step 5: Solve for x
    x = 385,456.22/698.58
  6. Step 6: Final answer
    x = 551.77

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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.