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Finding the Fourth Proportional to 1,803.37, 2,704.57 and 692.55

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Solution

The fourth proportional to 1,803.37, 2,704.57 and 692.55 is: 1,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.37 : 2,704.57 = 692.55 : x
  2. Step 2: Convert to fraction form
    1,803.37/2,704.57 = 692.55/x
  3. Step 3: Cross multiply
    1,803.37x = 2,704.57 × 692.55
  4. Step 4: Simplify right side
    1,803.37x = 1,873,049.95
  5. Step 5: Solve for x
    x = 1,873,049.95/1,803.37
  6. Step 6: Final answer
    x = 1,038.64

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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.