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Finding the Fourth Proportional to 1,796.80, 2,695.50 and 563.92

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Solution

The fourth proportional to 1,796.80, 2,695.50 and 563.92 is: 845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.80 : 2,695.50 = 563.92 : x
  2. Step 2: Convert to fraction form
    1,796.80/2,695.50 = 563.92/x
  3. Step 3: Cross multiply
    1,796.80x = 2,695.50 × 563.92
  4. Step 4: Simplify right side
    1,796.80x = 1,520,046.36
  5. Step 5: Solve for x
    x = 1,520,046.36/1,796.80
  6. Step 6: Final answer
    x = 845.97

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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.