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Finding the Fourth Proportional to 1,686.56, 2,528.27 and 863.01

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Solution

The fourth proportional to 1,686.56, 2,528.27 and 863.01 is: 1,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.56 : 2,528.27 = 863.01 : x
  2. Step 2: Convert to fraction form
    1,686.56/2,528.27 = 863.01/x
  3. Step 3: Cross multiply
    1,686.56x = 2,528.27 × 863.01
  4. Step 4: Simplify right side
    1,686.56x = 2,181,917.98
  5. Step 5: Solve for x
    x = 2,181,917.98/1,686.56
  6. Step 6: Final answer
    x = 1,293.71

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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.