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Finding the Fourth Proportional to 645.44, 885.60 and 629.12

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Solution

The fourth proportional to 645.44, 885.60 and 629.12 is: 863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.44 : 885.60 = 629.12 : x
  2. Step 2: Convert to fraction form
    645.44/885.60 = 629.12/x
  3. Step 3: Cross multiply
    645.44x = 885.60 × 629.12
  4. Step 4: Simplify right side
    645.44x = 557,148.67
  5. Step 5: Solve for x
    x = 557,148.67/645.44
  6. Step 6: Final answer
    x = 863.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.