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Finding the Fourth Proportional to 694.40, 957.87 and 445.63

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Solution

The fourth proportional to 694.40, 957.87 and 445.63 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.40 : 957.87 = 445.63 : x
  2. Step 2: Convert to fraction form
    694.40/957.87 = 445.63/x
  3. Step 3: Cross multiply
    694.40x = 957.87 × 445.63
  4. Step 4: Simplify right side
    694.40x = 426,855.61
  5. Step 5: Solve for x
    x = 426,855.61/694.40
  6. Step 6: Final answer
    x = 614.71

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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.