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Finding the Fourth Proportional to 694.46, 957.81 and 445.80

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Solution

The fourth proportional to 694.46, 957.81 and 445.80 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.46 : 957.81 = 445.80 : x
  2. Step 2: Convert to fraction form
    694.46/957.81 = 445.80/x
  3. Step 3: Cross multiply
    694.46x = 957.81 × 445.80
  4. Step 4: Simplify right side
    694.46x = 426,991.70
  5. Step 5: Solve for x
    x = 426,991.70/694.46
  6. Step 6: Final answer
    x = 614.86

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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.