Finding the Fourth Proportional to 823.70, 1,235.09 and 563.99
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Solution
The fourth proportional to 823.70, 1,235.09 and 563.99 is: 845.67
Step by Step Solution
- Step 1: Write the proportion equation
823.70 : 1,235.09 = 563.99 : x - Step 2: Convert to fraction form
823.70/1,235.09 = 563.99/x - Step 3: Cross multiply
823.70x = 1,235.09 × 563.99 - Step 4: Simplify right side
823.70x = 696,578.41 - Step 5: Solve for x
x = 696,578.41/823.70 - Step 6: Final answer
x = 845.67
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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.