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Finding the Fourth Proportional to 481.94, 725.56 and 354.74

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Solution

The fourth proportional to 481.94, 725.56 and 354.74 is: 534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.94 : 725.56 = 354.74 : x
  2. Step 2: Convert to fraction form
    481.94/725.56 = 354.74/x
  3. Step 3: Cross multiply
    481.94x = 725.56 × 354.74
  4. Step 4: Simplify right side
    481.94x = 257,383.38
  5. Step 5: Solve for x
    x = 257,383.38/481.94
  6. Step 6: Final answer
    x = 534.06

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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.