Finding the Fourth Proportional to 1,047.75, 1,446 and 582.09
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Solution
The fourth proportional to 1,047.75, 1,446 and 582.09 is: 803.34
Step by Step Solution
- Step 1: Write the proportion equation
1,047.75 : 1,446 = 582.09 : x - Step 2: Convert to fraction form
1,047.75/1,446 = 582.09/x - Step 3: Cross multiply
1,047.75x = 1,446 × 582.09 - Step 4: Simplify right side
1,047.75x = 841,702.14 - Step 5: Solve for x
x = 841,702.14/1,047.75 - Step 6: Final answer
x = 803.34
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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.