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Finding the Fourth Proportional to 638.58, 957.68 and 273.76

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Solution

The fourth proportional to 638.58, 957.68 and 273.76 is: 410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.58 : 957.68 = 273.76 : x
  2. Step 2: Convert to fraction form
    638.58/957.68 = 273.76/x
  3. Step 3: Cross multiply
    638.58x = 957.68 × 273.76
  4. Step 4: Simplify right side
    638.58x = 262,175.16
  5. Step 5: Solve for x
    x = 262,175.16/638.58
  6. Step 6: Final answer
    x = 410.56

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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.