Finding the Fourth Proportional to 1,107.36, 1,660.80 and 414
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Solution
The fourth proportional to 1,107.36, 1,660.80 and 414 is: 620.91
Step by Step Solution
- Step 1: Write the proportion equation
1,107.36 : 1,660.80 = 414 : x - Step 2: Convert to fraction form
1,107.36/1,660.80 = 414/x - Step 3: Cross multiply
1,107.36x = 1,660.80 × 414 - Step 4: Simplify right side
1,107.36x = 687,571.20 - Step 5: Solve for x
x = 687,571.20/1,107.36 - Step 6: Final answer
x = 620.91
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.