Finding the Fourth Proportional to 1,294.57, 1,786.21 and 797.23
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Solution
The fourth proportional to 1,294.57, 1,786.21 and 797.23 is: 1,099.99
Step by Step Solution
- Step 1: Write the proportion equation
1,294.57 : 1,786.21 = 797.23 : x - Step 2: Convert to fraction form
1,294.57/1,786.21 = 797.23/x - Step 3: Cross multiply
1,294.57x = 1,786.21 × 797.23 - Step 4: Simplify right side
1,294.57x = 1,424,020.20 - Step 5: Solve for x
x = 1,424,020.20/1,294.57 - Step 6: Final answer
x = 1,099.99
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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.