Finding the Fourth Proportional to 413.70, 617.44 and 381.14
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Solution
The fourth proportional to 413.70, 617.44 and 381.14 is: 568.84
Step by Step Solution
- Step 1: Write the proportion equation
413.70 : 617.44 = 381.14 : x - Step 2: Convert to fraction form
413.70/617.44 = 381.14/x - Step 3: Cross multiply
413.70x = 617.44 × 381.14 - Step 4: Simplify right side
413.70x = 235,331.08 - Step 5: Solve for x
x = 235,331.08/413.70 - Step 6: Final answer
x = 568.84
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.