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Finding the Fourth Proportional to 454.70, 678.21 and 441.03

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Solution

The fourth proportional to 454.70, 678.21 and 441.03 is: 657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.70 : 678.21 = 441.03 : x
  2. Step 2: Convert to fraction form
    454.70/678.21 = 441.03/x
  3. Step 3: Cross multiply
    454.70x = 678.21 × 441.03
  4. Step 4: Simplify right side
    454.70x = 299,110.96
  5. Step 5: Solve for x
    x = 299,110.96/454.70
  6. Step 6: Final answer
    x = 657.83

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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.