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Finding the Fourth Proportional to 694.81, 959.07 and 446.14

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Solution

The fourth proportional to 694.81, 959.07 and 446.14 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.81 : 959.07 = 446.14 : x
  2. Step 2: Convert to fraction form
    694.81/959.07 = 446.14/x
  3. Step 3: Cross multiply
    694.81x = 959.07 × 446.14
  4. Step 4: Simplify right side
    694.81x = 427,879.49
  5. Step 5: Solve for x
    x = 427,879.49/694.81
  6. Step 6: Final answer
    x = 615.82

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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.