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Finding the Fourth Proportional to 2,450.41, 3,676.18 and 806.90

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Solution

The fourth proportional to 2,450.41, 3,676.18 and 806.90 is: 1,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.41 : 3,676.18 = 806.90 : x
  2. Step 2: Convert to fraction form
    2,450.41/3,676.18 = 806.90/x
  3. Step 3: Cross multiply
    2,450.41x = 3,676.18 × 806.90
  4. Step 4: Simplify right side
    2,450.41x = 2,966,290.76
  5. Step 5: Solve for x
    x = 2,966,290.76/2,450.41
  6. Step 6: Final answer
    x = 1,210.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.