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Finding the Fourth Proportional to 694.86, 963.82 and 669.94

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Solution

The fourth proportional to 694.86, 963.82 and 669.94 is: 929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.86 : 963.82 = 669.94 : x
  2. Step 2: Convert to fraction form
    694.86/963.82 = 669.94/x
  3. Step 3: Cross multiply
    694.86x = 963.82 × 669.94
  4. Step 4: Simplify right side
    694.86x = 645,701.57
  5. Step 5: Solve for x
    x = 645,701.57/694.86
  6. Step 6: Final answer
    x = 929.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.