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Finding the Fourth Proportional to 456.76, 627.77 and 443.80

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Solution

The fourth proportional to 456.76, 627.77 and 443.80 is: 609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.76 : 627.77 = 443.80 : x
  2. Step 2: Convert to fraction form
    456.76/627.77 = 443.80/x
  3. Step 3: Cross multiply
    456.76x = 627.77 × 443.80
  4. Step 4: Simplify right side
    456.76x = 278,604.33
  5. Step 5: Solve for x
    x = 278,604.33/456.76
  6. Step 6: Final answer
    x = 609.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.