Finding the Fourth Proportional to 680.82, 1,020.66 and 315.42
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Solution
The fourth proportional to 680.82, 1,020.66 and 315.42 is: 472.87
Step by Step Solution
- Step 1: Write the proportion equation
680.82 : 1,020.66 = 315.42 : x - Step 2: Convert to fraction form
680.82/1,020.66 = 315.42/x - Step 3: Cross multiply
680.82x = 1,020.66 × 315.42 - Step 4: Simplify right side
680.82x = 321,936.58 - Step 5: Solve for x
x = 321,936.58/680.82 - Step 6: Final answer
x = 472.87
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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.