Finding the Fourth Proportional to 2,311.68, 3,467.53 and 580.31
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Solution
The fourth proportional to 2,311.68, 3,467.53 and 580.31 is: 870.46
Step by Step Solution
- Step 1: Write the proportion equation
2,311.68 : 3,467.53 = 580.31 : x - Step 2: Convert to fraction form
2,311.68/3,467.53 = 580.31/x - Step 3: Cross multiply
2,311.68x = 3,467.53 × 580.31 - Step 4: Simplify right side
2,311.68x = 2,012,223.55 - Step 5: Solve for x
x = 2,012,223.55/2,311.68 - Step 6: Final answer
x = 870.46
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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.