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Finding the Fourth Proportional to 968.85, 1,336.34 and 821.22

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Solution

The fourth proportional to 968.85, 1,336.34 and 821.22 is: 1,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.85 : 1,336.34 = 821.22 : x
  2. Step 2: Convert to fraction form
    968.85/1,336.34 = 821.22/x
  3. Step 3: Cross multiply
    968.85x = 1,336.34 × 821.22
  4. Step 4: Simplify right side
    968.85x = 1,097,425.03
  5. Step 5: Solve for x
    x = 1,097,425.03/968.85
  6. Step 6: Final answer
    x = 1,132.71

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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.