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Finding the Fourth Proportional to 481.97, 719.47 and 448.22

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Solution

The fourth proportional to 481.97, 719.47 and 448.22 is: 669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.97 : 719.47 = 448.22 : x
  2. Step 2: Convert to fraction form
    481.97/719.47 = 448.22/x
  3. Step 3: Cross multiply
    481.97x = 719.47 × 448.22
  4. Step 4: Simplify right side
    481.97x = 322,480.84
  5. Step 5: Solve for x
    x = 322,480.84/481.97
  6. Step 6: Final answer
    x = 669.09

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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.