Finding the Fourth Proportional to 811.35, 1,216.08 and 378
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Solution
The fourth proportional to 811.35, 1,216.08 and 378 is: 566.56
Step by Step Solution
- Step 1: Write the proportion equation
811.35 : 1,216.08 = 378 : x - Step 2: Convert to fraction form
811.35/1,216.08 = 378/x - Step 3: Cross multiply
811.35x = 1,216.08 × 378 - Step 4: Simplify right side
811.35x = 459,678.24 - Step 5: Solve for x
x = 459,678.24/811.35 - Step 6: Final answer
x = 566.56
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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.