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Finding the Fourth Proportional to 694.17, 956.81 and 519.21

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Solution

The fourth proportional to 694.17, 956.81 and 519.21 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.17 : 956.81 = 519.21 : x
  2. Step 2: Convert to fraction form
    694.17/956.81 = 519.21/x
  3. Step 3: Cross multiply
    694.17x = 956.81 × 519.21
  4. Step 4: Simplify right side
    694.17x = 496,786.62
  5. Step 5: Solve for x
    x = 496,786.62/694.17
  6. Step 6: Final answer
    x = 715.66

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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.