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Finding the Fourth Proportional to 705.69, 1,057.22 and 629.43

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Solution

The fourth proportional to 705.69, 1,057.22 and 629.43 is: 942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.69 : 1,057.22 = 629.43 : x
  2. Step 2: Convert to fraction form
    705.69/1,057.22 = 629.43/x
  3. Step 3: Cross multiply
    705.69x = 1,057.22 × 629.43
  4. Step 4: Simplify right side
    705.69x = 665,442.84
  5. Step 5: Solve for x
    x = 665,442.84/705.69
  6. Step 6: Final answer
    x = 942.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.