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Finding the Fourth Proportional to 1,227.36, 1,692.90 and 833.70

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Solution

The fourth proportional to 1,227.36, 1,692.90 and 833.70 is: 1,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.36 : 1,692.90 = 833.70 : x
  2. Step 2: Convert to fraction form
    1,227.36/1,692.90 = 833.70/x
  3. Step 3: Cross multiply
    1,227.36x = 1,692.90 × 833.70
  4. Step 4: Simplify right side
    1,227.36x = 1,411,370.73
  5. Step 5: Solve for x
    x = 1,411,370.73/1,227.36
  6. Step 6: Final answer
    x = 1,149.92

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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.