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Finding the Fourth Proportional to 1,441.95, 1,991.84 and 1,285.22

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Solution

The fourth proportional to 1,441.95, 1,991.84 and 1,285.22 is: 1,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.95 : 1,991.84 = 1,285.22 : x
  2. Step 2: Convert to fraction form
    1,441.95/1,991.84 = 1,285.22/x
  3. Step 3: Cross multiply
    1,441.95x = 1,991.84 × 1,285.22
  4. Step 4: Simplify right side
    1,441.95x = 2,559,936.22
  5. Step 5: Solve for x
    x = 2,559,936.22/1,441.95
  6. Step 6: Final answer
    x = 1,775.33

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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.