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Finding the Fourth Proportional to 1,682.01, 2,320.10 and 1,085.27

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Solution

The fourth proportional to 1,682.01, 2,320.10 and 1,085.27 is: 1,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.01 : 2,320.10 = 1,085.27 : x
  2. Step 2: Convert to fraction form
    1,682.01/2,320.10 = 1,085.27/x
  3. Step 3: Cross multiply
    1,682.01x = 2,320.10 × 1,085.27
  4. Step 4: Simplify right side
    1,682.01x = 2,517,930.67
  5. Step 5: Solve for x
    x = 2,517,930.67/1,682.01
  6. Step 6: Final answer
    x = 1,496.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.