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Finding the Fourth Proportional to 997.14, 1,488.17 and 971.22

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Solution

The fourth proportional to 997.14, 1,488.17 and 971.22 is: 1,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.14 : 1,488.17 = 971.22 : x
  2. Step 2: Convert to fraction form
    997.14/1,488.17 = 971.22/x
  3. Step 3: Cross multiply
    997.14x = 1,488.17 × 971.22
  4. Step 4: Simplify right side
    997.14x = 1,445,342.90
  5. Step 5: Solve for x
    x = 1,445,342.90/997.14
  6. Step 6: Final answer
    x = 1,449.49

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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.