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Finding the Fourth Proportional to 481.12, 717.56 and 412

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Solution

The fourth proportional to 481.12, 717.56 and 412 is: 614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.12 : 717.56 = 412 : x
  2. Step 2: Convert to fraction form
    481.12/717.56 = 412/x
  3. Step 3: Cross multiply
    481.12x = 717.56 × 412
  4. Step 4: Simplify right side
    481.12x = 295,634.72
  5. Step 5: Solve for x
    x = 295,634.72/481.12
  6. Step 6: Final answer
    x = 614.47

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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.