Finding the Fourth Proportional to 464.09, 640.18 and 408.96
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Solution
The fourth proportional to 464.09, 640.18 and 408.96 is: 564.14
Step by Step Solution
- Step 1: Write the proportion equation
464.09 : 640.18 = 408.96 : x - Step 2: Convert to fraction form
464.09/640.18 = 408.96/x - Step 3: Cross multiply
464.09x = 640.18 × 408.96 - Step 4: Simplify right side
464.09x = 261,806.99 - Step 5: Solve for x
x = 261,806.99/464.09 - Step 6: Final answer
x = 564.14
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.