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Finding the Fourth Proportional to 481.56, 668.46 and 470.04

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Solution

The fourth proportional to 481.56, 668.46 and 470.04 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.56 : 668.46 = 470.04 : x
  2. Step 2: Convert to fraction form
    481.56/668.46 = 470.04/x
  3. Step 3: Cross multiply
    481.56x = 668.46 × 470.04
  4. Step 4: Simplify right side
    481.56x = 314,202.94
  5. Step 5: Solve for x
    x = 314,202.94/481.56
  6. Step 6: Final answer
    x = 652.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.