Finding the Fourth Proportional to 1,161.44, 1,742.24 and 392
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Solution
The fourth proportional to 1,161.44, 1,742.24 and 392 is: 588.03
Step by Step Solution
- Step 1: Write the proportion equation
1,161.44 : 1,742.24 = 392 : x - Step 2: Convert to fraction form
1,161.44/1,742.24 = 392/x - Step 3: Cross multiply
1,161.44x = 1,742.24 × 392 - Step 4: Simplify right side
1,161.44x = 682,958.08 - Step 5: Solve for x
x = 682,958.08/1,161.44 - Step 6: Final answer
x = 588.03
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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.