Finding the Fourth Proportional to 1,294.56, 1,941.86 and 320.66
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Solution
The fourth proportional to 1,294.56, 1,941.86 and 320.66 is: 480.99
Step by Step Solution
- Step 1: Write the proportion equation
1,294.56 : 1,941.86 = 320.66 : x - Step 2: Convert to fraction form
1,294.56/1,941.86 = 320.66/x - Step 3: Cross multiply
1,294.56x = 1,941.86 × 320.66 - Step 4: Simplify right side
1,294.56x = 622,676.13 - Step 5: Solve for x
x = 622,676.13/1,294.56 - Step 6: Final answer
x = 480.99
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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.