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Finding the Fourth Proportional to 891.64, 1,230.80 and 798.22

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Solution

The fourth proportional to 891.64, 1,230.80 and 798.22 is: 1,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.64 : 1,230.80 = 798.22 : x
  2. Step 2: Convert to fraction form
    891.64/1,230.80 = 798.22/x
  3. Step 3: Cross multiply
    891.64x = 1,230.80 × 798.22
  4. Step 4: Simplify right side
    891.64x = 982,449.18
  5. Step 5: Solve for x
    x = 982,449.18/891.64
  6. Step 6: Final answer
    x = 1,101.85

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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.