Finding the Fourth Proportional to 1,530.26, 2,296 and 556.44
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Solution
The fourth proportional to 1,530.26, 2,296 and 556.44 is: 834.88
Step by Step Solution
- Step 1: Write the proportion equation
1,530.26 : 2,296 = 556.44 : x - Step 2: Convert to fraction form
1,530.26/2,296 = 556.44/x - Step 3: Cross multiply
1,530.26x = 2,296 × 556.44 - Step 4: Simplify right side
1,530.26x = 1,277,586.24 - Step 5: Solve for x
x = 1,277,586.24/1,530.26 - Step 6: Final answer
x = 834.88
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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.