Finding the Fourth Proportional to 596.40, 894.96 and 380.16
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Solution
The fourth proportional to 596.40, 894.96 and 380.16 is: 570.47
Step by Step Solution
- Step 1: Write the proportion equation
596.40 : 894.96 = 380.16 : x - Step 2: Convert to fraction form
596.40/894.96 = 380.16/x - Step 3: Cross multiply
596.40x = 894.96 × 380.16 - Step 4: Simplify right side
596.40x = 340,227.99 - Step 5: Solve for x
x = 340,227.99/596.40 - Step 6: Final answer
x = 570.47
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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.