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Finding the Fourth Proportional to 481.58, 664.34 and 315.80

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Solution

The fourth proportional to 481.58, 664.34 and 315.80 is: 435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.58 : 664.34 = 315.80 : x
  2. Step 2: Convert to fraction form
    481.58/664.34 = 315.80/x
  3. Step 3: Cross multiply
    481.58x = 664.34 × 315.80
  4. Step 4: Simplify right side
    481.58x = 209,796.16
  5. Step 5: Solve for x
    x = 209,796.16/481.58
  6. Step 6: Final answer
    x = 435.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.