Finding the Fourth Proportional to 1,405.82, 2,109.12 and 584.48
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Solution
The fourth proportional to 1,405.82, 2,109.12 and 584.48 is: 876.88
Step by Step Solution
- Step 1: Write the proportion equation
1,405.82 : 2,109.12 = 584.48 : x - Step 2: Convert to fraction form
1,405.82/2,109.12 = 584.48/x - Step 3: Cross multiply
1,405.82x = 2,109.12 × 584.48 - Step 4: Simplify right side
1,405.82x = 1,232,738.46 - Step 5: Solve for x
x = 1,232,738.46/1,405.82 - Step 6: Final answer
x = 876.88
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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.