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Finding the Fourth Proportional to 458.28, 682.08 and 448.68

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Solution

The fourth proportional to 458.28, 682.08 and 448.68 is: 667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.28 : 682.08 = 448.68 : x
  2. Step 2: Convert to fraction form
    458.28/682.08 = 448.68/x
  3. Step 3: Cross multiply
    458.28x = 682.08 × 448.68
  4. Step 4: Simplify right side
    458.28x = 306,035.65
  5. Step 5: Solve for x
    x = 306,035.65/458.28
  6. Step 6: Final answer
    x = 667.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.