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Finding the Fourth Proportional to 721.52, 997.64 and 629.25

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Solution

The fourth proportional to 721.52, 997.64 and 629.25 is: 870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.52 : 997.64 = 629.25 : x
  2. Step 2: Convert to fraction form
    721.52/997.64 = 629.25/x
  3. Step 3: Cross multiply
    721.52x = 997.64 × 629.25
  4. Step 4: Simplify right side
    721.52x = 627,761.82
  5. Step 5: Solve for x
    x = 627,761.82/721.52
  6. Step 6: Final answer
    x = 870.06

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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.