Finding the Fourth Proportional to 1,604.24, 2,406.56 and 738.44
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Solution
The fourth proportional to 1,604.24, 2,406.56 and 738.44 is: 1,107.75
Step by Step Solution
- Step 1: Write the proportion equation
1,604.24 : 2,406.56 = 738.44 : x - Step 2: Convert to fraction form
1,604.24/2,406.56 = 738.44/x - Step 3: Cross multiply
1,604.24x = 2,406.56 × 738.44 - Step 4: Simplify right side
1,604.24x = 1,777,100.17 - Step 5: Solve for x
x = 1,777,100.17/1,604.24 - Step 6: Final answer
x = 1,107.75
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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.