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Finding the Fourth Proportional to 1,798.82, 2,695.90 and 822.77

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Solution

The fourth proportional to 1,798.82, 2,695.90 and 822.77 is: 1,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.82 : 2,695.90 = 822.77 : x
  2. Step 2: Convert to fraction form
    1,798.82/2,695.90 = 822.77/x
  3. Step 3: Cross multiply
    1,798.82x = 2,695.90 × 822.77
  4. Step 4: Simplify right side
    1,798.82x = 2,218,105.64
  5. Step 5: Solve for x
    x = 2,218,105.64/1,798.82
  6. Step 6: Final answer
    x = 1,233.09

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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.