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Finding the Fourth Proportional to 694.56, 1,037.33 and 629.43

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Solution

The fourth proportional to 694.56, 1,037.33 and 629.43 is: 940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.56 : 1,037.33 = 629.43 : x
  2. Step 2: Convert to fraction form
    694.56/1,037.33 = 629.43/x
  3. Step 3: Cross multiply
    694.56x = 1,037.33 × 629.43
  4. Step 4: Simplify right side
    694.56x = 652,926.62
  5. Step 5: Solve for x
    x = 652,926.62/694.56
  6. Step 6: Final answer
    x = 940.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.