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Finding the Fourth Proportional to 1,211.39, 1,818.80 and 692.43

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Solution

The fourth proportional to 1,211.39, 1,818.80 and 692.43 is: 1,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.39 : 1,818.80 = 692.43 : x
  2. Step 2: Convert to fraction form
    1,211.39/1,818.80 = 692.43/x
  3. Step 3: Cross multiply
    1,211.39x = 1,818.80 × 692.43
  4. Step 4: Simplify right side
    1,211.39x = 1,259,391.68
  5. Step 5: Solve for x
    x = 1,259,391.68/1,211.39
  6. Step 6: Final answer
    x = 1,039.63

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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.