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Finding the Fourth Proportional to 1,777.10, 2,664.38 and 680.54

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Solution

The fourth proportional to 1,777.10, 2,664.38 and 680.54 is: 1,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.10 : 2,664.38 = 680.54 : x
  2. Step 2: Convert to fraction form
    1,777.10/2,664.38 = 680.54/x
  3. Step 3: Cross multiply
    1,777.10x = 2,664.38 × 680.54
  4. Step 4: Simplify right side
    1,777.10x = 1,813,205.54
  5. Step 5: Solve for x
    x = 1,813,205.54/1,777.10
  6. Step 6: Final answer
    x = 1,020.32

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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.