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Finding the Fourth Proportional to 1,361.75, 1,879.23 and 740.75

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Solution

The fourth proportional to 1,361.75, 1,879.23 and 740.75 is: 1,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.75 : 1,879.23 = 740.75 : x
  2. Step 2: Convert to fraction form
    1,361.75/1,879.23 = 740.75/x
  3. Step 3: Cross multiply
    1,361.75x = 1,879.23 × 740.75
  4. Step 4: Simplify right side
    1,361.75x = 1,392,039.62
  5. Step 5: Solve for x
    x = 1,392,039.62/1,361.75
  6. Step 6: Final answer
    x = 1,022.24

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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.