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Finding the Fourth Proportional to 891.80, 1,335.62 and 867.19

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Solution

The fourth proportional to 891.80, 1,335.62 and 867.19 is: 1,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.80 : 1,335.62 = 867.19 : x
  2. Step 2: Convert to fraction form
    891.80/1,335.62 = 867.19/x
  3. Step 3: Cross multiply
    891.80x = 1,335.62 × 867.19
  4. Step 4: Simplify right side
    891.80x = 1,158,236.31
  5. Step 5: Solve for x
    x = 1,158,236.31/891.80
  6. Step 6: Final answer
    x = 1,298.76

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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.