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Finding the Fourth Proportional to 1,447.48, 1,997.30 and 817.97

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Solution

The fourth proportional to 1,447.48, 1,997.30 and 817.97 is: 1,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.48 : 1,997.30 = 817.97 : x
  2. Step 2: Convert to fraction form
    1,447.48/1,997.30 = 817.97/x
  3. Step 3: Cross multiply
    1,447.48x = 1,997.30 × 817.97
  4. Step 4: Simplify right side
    1,447.48x = 1,633,718.94
  5. Step 5: Solve for x
    x = 1,633,718.94/1,447.48
  6. Step 6: Final answer
    x = 1,128.67

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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.