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Finding the Fourth Proportional to 2,050.12, 3,075.49 and 663

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Solution

The fourth proportional to 2,050.12, 3,075.49 and 663 is: 994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.12 : 3,075.49 = 663 : x
  2. Step 2: Convert to fraction form
    2,050.12/3,075.49 = 663/x
  3. Step 3: Cross multiply
    2,050.12x = 3,075.49 × 663
  4. Step 4: Simplify right side
    2,050.12x = 2,039,049.87
  5. Step 5: Solve for x
    x = 2,039,049.87/2,050.12
  6. Step 6: Final answer
    x = 994.60

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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.