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Finding the Fourth Proportional to 457.58, 685.86 and 197.54

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Solution

The fourth proportional to 457.58, 685.86 and 197.54 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.58 : 685.86 = 197.54 : x
  2. Step 2: Convert to fraction form
    457.58/685.86 = 197.54/x
  3. Step 3: Cross multiply
    457.58x = 685.86 × 197.54
  4. Step 4: Simplify right side
    457.58x = 135,481.36
  5. Step 5: Solve for x
    x = 135,481.36/457.58
  6. Step 6: Final answer
    x = 296.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.