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Finding the Fourth Proportional to 1,083.87, 1,623.64 and 836.20

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Solution

The fourth proportional to 1,083.87, 1,623.64 and 836.20 is: 1,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.87 : 1,623.64 = 836.20 : x
  2. Step 2: Convert to fraction form
    1,083.87/1,623.64 = 836.20/x
  3. Step 3: Cross multiply
    1,083.87x = 1,623.64 × 836.20
  4. Step 4: Simplify right side
    1,083.87x = 1,357,687.77
  5. Step 5: Solve for x
    x = 1,357,687.77/1,083.87
  6. Step 6: Final answer
    x = 1,252.63

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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.