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Finding the Fourth Proportional to 1,331.94, 1,993.01 and 942.33

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Solution

The fourth proportional to 1,331.94, 1,993.01 and 942.33 is: 1,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.94 : 1,993.01 = 942.33 : x
  2. Step 2: Convert to fraction form
    1,331.94/1,993.01 = 942.33/x
  3. Step 3: Cross multiply
    1,331.94x = 1,993.01 × 942.33
  4. Step 4: Simplify right side
    1,331.94x = 1,878,075.88
  5. Step 5: Solve for x
    x = 1,878,075.88/1,331.94
  6. Step 6: Final answer
    x = 1,410.03

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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.