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Finding the Fourth Proportional to 1,226.23, 1,692.43 and 729.16

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Solution

The fourth proportional to 1,226.23, 1,692.43 and 729.16 is: 1,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.23 : 1,692.43 = 729.16 : x
  2. Step 2: Convert to fraction form
    1,226.23/1,692.43 = 729.16/x
  3. Step 3: Cross multiply
    1,226.23x = 1,692.43 × 729.16
  4. Step 4: Simplify right side
    1,226.23x = 1,234,046.20
  5. Step 5: Solve for x
    x = 1,234,046.20/1,226.23
  6. Step 6: Final answer
    x = 1,006.38

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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.