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Finding the Fourth Proportional to 1,563.09, 2,156.97 and 854.94

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Solution

The fourth proportional to 1,563.09, 2,156.97 and 854.94 is: 1,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.09 : 2,156.97 = 854.94 : x
  2. Step 2: Convert to fraction form
    1,563.09/2,156.97 = 854.94/x
  3. Step 3: Cross multiply
    1,563.09x = 2,156.97 × 854.94
  4. Step 4: Simplify right side
    1,563.09x = 1,844,079.93
  5. Step 5: Solve for x
    x = 1,844,079.93/1,563.09
  6. Step 6: Final answer
    x = 1,179.77

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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.