Finding the Fourth Proportional to 409.10, 613.74 and 120.53
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Solution
The fourth proportional to 409.10, 613.74 and 120.53 is: 180.82
Step by Step Solution
- Step 1: Write the proportion equation
409.10 : 613.74 = 120.53 : x - Step 2: Convert to fraction form
409.10/613.74 = 120.53/x - Step 3: Cross multiply
409.10x = 613.74 × 120.53 - Step 4: Simplify right side
409.10x = 73,974.08 - Step 5: Solve for x
x = 73,974.08/409.10 - Step 6: Final answer
x = 180.82
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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.