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Finding the Fourth Proportional to 454.14, 675.41 and 449.28

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Solution

The fourth proportional to 454.14, 675.41 and 449.28 is: 668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.14 : 675.41 = 449.28 : x
  2. Step 2: Convert to fraction form
    454.14/675.41 = 449.28/x
  3. Step 3: Cross multiply
    454.14x = 675.41 × 449.28
  4. Step 4: Simplify right side
    454.14x = 303,445.96
  5. Step 5: Solve for x
    x = 303,445.96/454.14
  6. Step 6: Final answer
    x = 668.18

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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.