Finding the Fourth Proportional to 775.95, 1,163.10 and 428.53
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Solution
The fourth proportional to 775.95, 1,163.10 and 428.53 is: 642.34
Step by Step Solution
- Step 1: Write the proportion equation
775.95 : 1,163.10 = 428.53 : x - Step 2: Convert to fraction form
775.95/1,163.10 = 428.53/x - Step 3: Cross multiply
775.95x = 1,163.10 × 428.53 - Step 4: Simplify right side
775.95x = 498,423.24 - Step 5: Solve for x
x = 498,423.24/775.95 - Step 6: Final answer
x = 642.34
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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.