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Finding the Fourth Proportional to 694.53, 959.04 and 446.40

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Solution

The fourth proportional to 694.53, 959.04 and 446.40 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.53 : 959.04 = 446.40 : x
  2. Step 2: Convert to fraction form
    694.53/959.04 = 446.40/x
  3. Step 3: Cross multiply
    694.53x = 959.04 × 446.40
  4. Step 4: Simplify right side
    694.53x = 428,115.46
  5. Step 5: Solve for x
    x = 428,115.46/694.53
  6. Step 6: Final answer
    x = 616.41

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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.