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Finding the Fourth Proportional to 883.09, 1,322.11 and 700.75

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Solution

The fourth proportional to 883.09, 1,322.11 and 700.75 is: 1,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.09 : 1,322.11 = 700.75 : x
  2. Step 2: Convert to fraction form
    883.09/1,322.11 = 700.75/x
  3. Step 3: Cross multiply
    883.09x = 1,322.11 × 700.75
  4. Step 4: Simplify right side
    883.09x = 926,468.58
  5. Step 5: Solve for x
    x = 926,468.58/883.09
  6. Step 6: Final answer
    x = 1,049.12

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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.