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Finding the Fourth Proportional to 1,226.48, 1,692.82 and 806.88

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Solution

The fourth proportional to 1,226.48, 1,692.82 and 806.88 is: 1,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.48 : 1,692.82 = 806.88 : x
  2. Step 2: Convert to fraction form
    1,226.48/1,692.82 = 806.88/x
  3. Step 3: Cross multiply
    1,226.48x = 1,692.82 × 806.88
  4. Step 4: Simplify right side
    1,226.48x = 1,365,902.60
  5. Step 5: Solve for x
    x = 1,365,902.60/1,226.48
  6. Step 6: Final answer
    x = 1,113.68

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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.