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Finding the Fourth Proportional to 1,227.29, 1,692.01 and 833.63

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Solution

The fourth proportional to 1,227.29, 1,692.01 and 833.63 is: 1,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.29 : 1,692.01 = 833.63 : x
  2. Step 2: Convert to fraction form
    1,227.29/1,692.01 = 833.63/x
  3. Step 3: Cross multiply
    1,227.29x = 1,692.01 × 833.63
  4. Step 4: Simplify right side
    1,227.29x = 1,410,510.30
  5. Step 5: Solve for x
    x = 1,410,510.30/1,227.29
  6. Step 6: Final answer
    x = 1,149.29

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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.