Finding the Fourth Proportional to 2,296.14, 3,444.18 and 564.75
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Solution
The fourth proportional to 2,296.14, 3,444.18 and 564.75 is: 847.12
Step by Step Solution
- Step 1: Write the proportion equation
2,296.14 : 3,444.18 = 564.75 : x - Step 2: Convert to fraction form
2,296.14/3,444.18 = 564.75/x - Step 3: Cross multiply
2,296.14x = 3,444.18 × 564.75 - Step 4: Simplify right side
2,296.14x = 1,945,100.66 - Step 5: Solve for x
x = 1,945,100.66/2,296.14 - Step 6: Final answer
x = 847.12
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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.