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Finding the Fourth Proportional to 1,219.06, 1,826.24 and 806.98

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Solution

The fourth proportional to 1,219.06, 1,826.24 and 806.98 is: 1,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.06 : 1,826.24 = 806.98 : x
  2. Step 2: Convert to fraction form
    1,219.06/1,826.24 = 806.98/x
  3. Step 3: Cross multiply
    1,219.06x = 1,826.24 × 806.98
  4. Step 4: Simplify right side
    1,219.06x = 1,473,739.16
  5. Step 5: Solve for x
    x = 1,473,739.16/1,219.06
  6. Step 6: Final answer
    x = 1,208.91

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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.