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Finding the Fourth Proportional to 891.52, 1,226.63 and 870.80

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Solution

The fourth proportional to 891.52, 1,226.63 and 870.80 is: 1,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.52 : 1,226.63 = 870.80 : x
  2. Step 2: Convert to fraction form
    891.52/1,226.63 = 870.80/x
  3. Step 3: Cross multiply
    891.52x = 1,226.63 × 870.80
  4. Step 4: Simplify right side
    891.52x = 1,068,145.45
  5. Step 5: Solve for x
    x = 1,068,145.45/891.52
  6. Step 6: Final answer
    x = 1,198.12

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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.