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Finding the Fourth Proportional to 1,894.80, 2,842.20 and 662.22

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Solution

The fourth proportional to 1,894.80, 2,842.20 and 662.22 is: 993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.80 : 2,842.20 = 662.22 : x
  2. Step 2: Convert to fraction form
    1,894.80/2,842.20 = 662.22/x
  3. Step 3: Cross multiply
    1,894.80x = 2,842.20 × 662.22
  4. Step 4: Simplify right side
    1,894.80x = 1,882,161.68
  5. Step 5: Solve for x
    x = 1,882,161.68/1,894.80
  6. Step 6: Final answer
    x = 993.33

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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.