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Finding the Fourth Proportional to 454.26, 678.15 and 449.64

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Solution

The fourth proportional to 454.26, 678.15 and 449.64 is: 671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.26 : 678.15 = 449.64 : x
  2. Step 2: Convert to fraction form
    454.26/678.15 = 449.64/x
  3. Step 3: Cross multiply
    454.26x = 678.15 × 449.64
  4. Step 4: Simplify right side
    454.26x = 304,923.37
  5. Step 5: Solve for x
    x = 304,923.37/454.26
  6. Step 6: Final answer
    x = 671.25

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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.