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Finding the Fourth Proportional to 457.62, 682.47 and 448.47

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Solution

The fourth proportional to 457.62, 682.47 and 448.47 is: 668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.62 : 682.47 = 448.47 : x
  2. Step 2: Convert to fraction form
    457.62/682.47 = 448.47/x
  3. Step 3: Cross multiply
    457.62x = 682.47 × 448.47
  4. Step 4: Simplify right side
    457.62x = 306,067.32
  5. Step 5: Solve for x
    x = 306,067.32/457.62
  6. Step 6: Final answer
    x = 668.82

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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.