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Finding the Fourth Proportional to 694.80, 959.31 and 446.76

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Solution

The fourth proportional to 694.80, 959.31 and 446.76 is: 616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.80 : 959.31 = 446.76 : x
  2. Step 2: Convert to fraction form
    694.80/959.31 = 446.76/x
  3. Step 3: Cross multiply
    694.80x = 959.31 × 446.76
  4. Step 4: Simplify right side
    694.80x = 428,581.34
  5. Step 5: Solve for x
    x = 428,581.34/694.80
  6. Step 6: Final answer
    x = 616.84

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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.