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Finding the Fourth Proportional to 1,096.28, 1,643.09 and 805.02

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Solution

The fourth proportional to 1,096.28, 1,643.09 and 805.02 is: 1,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.28 : 1,643.09 = 805.02 : x
  2. Step 2: Convert to fraction form
    1,096.28/1,643.09 = 805.02/x
  3. Step 3: Cross multiply
    1,096.28x = 1,643.09 × 805.02
  4. Step 4: Simplify right side
    1,096.28x = 1,322,713.14
  5. Step 5: Solve for x
    x = 1,322,713.14/1,096.28
  6. Step 6: Final answer
    x = 1,206.55

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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.