Finding the Fourth Proportional to 823.36, 1,234.68 and 310
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Solution
The fourth proportional to 823.36, 1,234.68 and 310 is: 464.86
Step by Step Solution
- Step 1: Write the proportion equation
823.36 : 1,234.68 = 310 : x - Step 2: Convert to fraction form
823.36/1,234.68 = 310/x - Step 3: Cross multiply
823.36x = 1,234.68 × 310 - Step 4: Simplify right side
823.36x = 382,750.80 - Step 5: Solve for x
x = 382,750.80/823.36 - Step 6: Final answer
x = 464.86
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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.