Finding the Fourth Proportional to 2,197.36, 3,295.68 and 658
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Solution
The fourth proportional to 2,197.36, 3,295.68 and 658 is: 986.89
Step by Step Solution
- Step 1: Write the proportion equation
2,197.36 : 3,295.68 = 658 : x - Step 2: Convert to fraction form
2,197.36/3,295.68 = 658/x - Step 3: Cross multiply
2,197.36x = 3,295.68 × 658 - Step 4: Simplify right side
2,197.36x = 2,168,557.44 - Step 5: Solve for x
x = 2,168,557.44/2,197.36 - Step 6: Final answer
x = 986.89
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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.