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Finding the Fourth Proportional to 694.42, 958.39 and 399.63

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Solution

The fourth proportional to 694.42, 958.39 and 399.63 is: 551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.42 : 958.39 = 399.63 : x
  2. Step 2: Convert to fraction form
    694.42/958.39 = 399.63/x
  3. Step 3: Cross multiply
    694.42x = 958.39 × 399.63
  4. Step 4: Simplify right side
    694.42x = 383,000.40
  5. Step 5: Solve for x
    x = 383,000.40/694.42
  6. Step 6: Final answer
    x = 551.54

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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.