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Finding the Fourth Proportional to 694.65, 958.36 and 517.17

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Solution

The fourth proportional to 694.65, 958.36 and 517.17 is: 713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.65 : 958.36 = 517.17 : x
  2. Step 2: Convert to fraction form
    694.65/958.36 = 517.17/x
  3. Step 3: Cross multiply
    694.65x = 958.36 × 517.17
  4. Step 4: Simplify right side
    694.65x = 495,635.04
  5. Step 5: Solve for x
    x = 495,635.04/694.65
  6. Step 6: Final answer
    x = 713.50

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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.