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Finding the Fourth Proportional to 694.62, 958.77 and 684.09

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Solution

The fourth proportional to 694.62, 958.77 and 684.09 is: 944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.62 : 958.77 = 684.09 : x
  2. Step 2: Convert to fraction form
    694.62/958.77 = 684.09/x
  3. Step 3: Cross multiply
    694.62x = 958.77 × 684.09
  4. Step 4: Simplify right side
    694.62x = 655,884.97
  5. Step 5: Solve for x
    x = 655,884.97/694.62
  6. Step 6: Final answer
    x = 944.24

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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.