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Finding the Fourth Proportional to 661.44, 996.71 and 548.43

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Solution

The fourth proportional to 661.44, 996.71 and 548.43 is: 826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.44 : 996.71 = 548.43 : x
  2. Step 2: Convert to fraction form
    661.44/996.71 = 548.43/x
  3. Step 3: Cross multiply
    661.44x = 996.71 × 548.43
  4. Step 4: Simplify right side
    661.44x = 546,622.92
  5. Step 5: Solve for x
    x = 546,622.92/661.44
  6. Step 6: Final answer
    x = 826.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.