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Finding the Fourth Proportional to 883.43, 1,217.71 and 696.61

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Solution

The fourth proportional to 883.43, 1,217.71 and 696.61 is: 960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.43 : 1,217.71 = 696.61 : x
  2. Step 2: Convert to fraction form
    883.43/1,217.71 = 696.61/x
  3. Step 3: Cross multiply
    883.43x = 1,217.71 × 696.61
  4. Step 4: Simplify right side
    883.43x = 848,268.96
  5. Step 5: Solve for x
    x = 848,268.96/883.43
  6. Step 6: Final answer
    x = 960.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.