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Finding the Fourth Proportional to 1,447.80, 1,998.17 and 1,050.75

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Solution

The fourth proportional to 1,447.80, 1,998.17 and 1,050.75 is: 1,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.80 : 1,998.17 = 1,050.75 : x
  2. Step 2: Convert to fraction form
    1,447.80/1,998.17 = 1,050.75/x
  3. Step 3: Cross multiply
    1,447.80x = 1,998.17 × 1,050.75
  4. Step 4: Simplify right side
    1,447.80x = 2,099,571.87
  5. Step 5: Solve for x
    x = 2,099,571.87/1,447.80
  6. Step 6: Final answer
    x = 1,450.18

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1.5x scale

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.