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Finding the Fourth Proportional to 1,237.25, 1,855.89 and 692.89

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Solution

The fourth proportional to 1,237.25, 1,855.89 and 692.89 is: 1,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.25 : 1,855.89 = 692.89 : x
  2. Step 2: Convert to fraction form
    1,237.25/1,855.89 = 692.89/x
  3. Step 3: Cross multiply
    1,237.25x = 1,855.89 × 692.89
  4. Step 4: Simplify right side
    1,237.25x = 1,285,922.98
  5. Step 5: Solve for x
    x = 1,285,922.98/1,237.25
  6. Step 6: Final answer
    x = 1,039.34

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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.