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Finding the Fourth Proportional to 698.16, 963.56 and 399.40

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Solution

The fourth proportional to 698.16, 963.56 and 399.40 is: 551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.16 : 963.56 = 399.40 : x
  2. Step 2: Convert to fraction form
    698.16/963.56 = 399.40/x
  3. Step 3: Cross multiply
    698.16x = 963.56 × 399.40
  4. Step 4: Simplify right side
    698.16x = 384,845.86
  5. Step 5: Solve for x
    x = 384,845.86/698.16
  6. Step 6: Final answer
    x = 551.23

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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.