Finding the Fourth Proportional to 1,491.23, 2,057.87 and 828.09
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Solution
The fourth proportional to 1,491.23, 2,057.87 and 828.09 is: 1,142.75
Step by Step Solution
- Step 1: Write the proportion equation
1,491.23 : 2,057.87 = 828.09 : x - Step 2: Convert to fraction form
1,491.23/2,057.87 = 828.09/x - Step 3: Cross multiply
1,491.23x = 2,057.87 × 828.09 - Step 4: Simplify right side
1,491.23x = 1,704,097.43 - Step 5: Solve for x
x = 1,704,097.43/1,491.23 - Step 6: Final answer
x = 1,142.75
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.