Home / 1,191.44-1,787.23-460.96

Finding the Fourth Proportional to 1,191.44, 1,787.23 and 460.96

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Solution

The fourth proportional to 1,191.44, 1,787.23 and 460.96 is: 691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.44 : 1,787.23 = 460.96 : x
  2. Step 2: Convert to fraction form
    1,191.44/1,787.23 = 460.96/x
  3. Step 3: Cross multiply
    1,191.44x = 1,787.23 × 460.96
  4. Step 4: Simplify right side
    1,191.44x = 823,837.65
  5. Step 5: Solve for x
    x = 823,837.65/1,191.44
  6. Step 6: Final answer
    x = 691.46

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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.