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Finding the Fourth Proportional to 694.79, 958.94 and 446.42

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Solution

The fourth proportional to 694.79, 958.94 and 446.42 is: 616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.79 : 958.94 = 446.42 : x
  2. Step 2: Convert to fraction form
    694.79/958.94 = 446.42/x
  3. Step 3: Cross multiply
    694.79x = 958.94 × 446.42
  4. Step 4: Simplify right side
    694.79x = 428,085.37
  5. Step 5: Solve for x
    x = 428,085.37/694.79
  6. Step 6: Final answer
    x = 616.14

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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.