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Finding the Fourth Proportional to 454.68, 679.14 and 447.39

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Solution

The fourth proportional to 454.68, 679.14 and 447.39 is: 668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 679.14 = 447.39 : x
  2. Step 2: Convert to fraction form
    454.68/679.14 = 447.39/x
  3. Step 3: Cross multiply
    454.68x = 679.14 × 447.39
  4. Step 4: Simplify right side
    454.68x = 303,840.44
  5. Step 5: Solve for x
    x = 303,840.44/454.68
  6. Step 6: Final answer
    x = 668.25

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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.