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Finding the Fourth Proportional to 454.91, 678.60 and 448.97

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Solution

The fourth proportional to 454.91, 678.60 and 448.97 is: 669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.91 : 678.60 = 448.97 : x
  2. Step 2: Convert to fraction form
    454.91/678.60 = 448.97/x
  3. Step 3: Cross multiply
    454.91x = 678.60 × 448.97
  4. Step 4: Simplify right side
    454.91x = 304,671.04
  5. Step 5: Solve for x
    x = 304,671.04/454.91
  6. Step 6: Final answer
    x = 669.74

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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.