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Finding the Fourth Proportional to 2,048, 3,072 and 680

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Solution

The fourth proportional to 2,048, 3,072 and 680 is: 1,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048 : 3,072 = 680 : x
  2. Step 2: Convert to fraction form
    2,048/3,072 = 680/x
  3. Step 3: Cross multiply
    2,048x = 3,072 × 680
  4. Step 4: Simplify right side
    2,048x = 2,088,960
  5. Step 5: Solve for x
    x = 2,088,960/2,048
  6. Step 6: Final answer
    x = 1,020

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