Finding the Fourth Proportional to 775.14, 1,163.04 and 342
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Solution
The fourth proportional to 775.14, 1,163.04 and 342 is: 513.15
Step by Step Solution
- Step 1: Write the proportion equation
775.14 : 1,163.04 = 342 : x - Step 2: Convert to fraction form
775.14/1,163.04 = 342/x - Step 3: Cross multiply
775.14x = 1,163.04 × 342 - Step 4: Simplify right side
775.14x = 397,759.68 - Step 5: Solve for x
x = 397,759.68/775.14 - Step 6: Final answer
x = 513.15
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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.