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Finding the Fourth Proportional to 694.58, 958.30 and 399.67

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Solution

The fourth proportional to 694.58, 958.30 and 399.67 is: 551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.58 : 958.30 = 399.67 : x
  2. Step 2: Convert to fraction form
    694.58/958.30 = 399.67/x
  3. Step 3: Cross multiply
    694.58x = 958.30 × 399.67
  4. Step 4: Simplify right side
    694.58x = 383,000.37
  5. Step 5: Solve for x
    x = 383,000.37/694.58
  6. Step 6: Final answer
    x = 551.42

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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.