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Finding the Fourth Proportional to 702.23, 1,049.43 and 629.96

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Solution

The fourth proportional to 702.23, 1,049.43 and 629.96 is: 941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.23 : 1,049.43 = 629.96 : x
  2. Step 2: Convert to fraction form
    702.23/1,049.43 = 629.96/x
  3. Step 3: Cross multiply
    702.23x = 1,049.43 × 629.96
  4. Step 4: Simplify right side
    702.23x = 661,093.68
  5. Step 5: Solve for x
    x = 661,093.68/702.23
  6. Step 6: Final answer
    x = 941.43

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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.