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Finding the Fourth Proportional to 481.62, 660.54 and 461.77

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Solution

The fourth proportional to 481.62, 660.54 and 461.77 is: 633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.62 : 660.54 = 461.77 : x
  2. Step 2: Convert to fraction form
    481.62/660.54 = 461.77/x
  3. Step 3: Cross multiply
    481.62x = 660.54 × 461.77
  4. Step 4: Simplify right side
    481.62x = 305,017.56
  5. Step 5: Solve for x
    x = 305,017.56/481.62
  6. Step 6: Final answer
    x = 633.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.