Finding the Fourth Proportional to 1,141.57, 1,709.97 and 592.09
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Solution
The fourth proportional to 1,141.57, 1,709.97 and 592.09 is: 886.90
Step by Step Solution
- Step 1: Write the proportion equation
1,141.57 : 1,709.97 = 592.09 : x - Step 2: Convert to fraction form
1,141.57/1,709.97 = 592.09/x - Step 3: Cross multiply
1,141.57x = 1,709.97 × 592.09 - Step 4: Simplify right side
1,141.57x = 1,012,456.14 - Step 5: Solve for x
x = 1,012,456.14/1,141.57 - Step 6: Final answer
x = 886.90
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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.