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Finding the Fourth Proportional to 441.75, 657.96 and 418.62

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Solution

The fourth proportional to 441.75, 657.96 and 418.62 is: 623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 657.96 = 418.62 : x
  2. Step 2: Convert to fraction form
    441.75/657.96 = 418.62/x
  3. Step 3: Cross multiply
    441.75x = 657.96 × 418.62
  4. Step 4: Simplify right side
    441.75x = 275,435.22
  5. Step 5: Solve for x
    x = 275,435.22/441.75
  6. Step 6: Final answer
    x = 623.51

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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.