Finding the Fourth Proportional to 775.19, 1,163.08 and 313.09
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Solution
The fourth proportional to 775.19, 1,163.08 and 313.09 is: 469.75
Step by Step Solution
- Step 1: Write the proportion equation
775.19 : 1,163.08 = 313.09 : x - Step 2: Convert to fraction form
775.19/1,163.08 = 313.09/x - Step 3: Cross multiply
775.19x = 1,163.08 × 313.09 - Step 4: Simplify right side
775.19x = 364,148.37 - Step 5: Solve for x
x = 364,148.37/775.19 - Step 6: Final answer
x = 469.75
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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.