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Finding the Fourth Proportional to 997.26, 1,495.37 and 448.97

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Solution

The fourth proportional to 997.26, 1,495.37 and 448.97 is: 673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.26 : 1,495.37 = 448.97 : x
  2. Step 2: Convert to fraction form
    997.26/1,495.37 = 448.97/x
  3. Step 3: Cross multiply
    997.26x = 1,495.37 × 448.97
  4. Step 4: Simplify right side
    997.26x = 671,366.55
  5. Step 5: Solve for x
    x = 671,366.55/997.26
  6. Step 6: Final answer
    x = 673.21

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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.