Finding the Fourth Proportional to 433.62, 649.26 and 286.92
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Solution
The fourth proportional to 433.62, 649.26 and 286.92 is: 429.61
Step by Step Solution
- Step 1: Write the proportion equation
433.62 : 649.26 = 286.92 : x - Step 2: Convert to fraction form
433.62/649.26 = 286.92/x - Step 3: Cross multiply
433.62x = 649.26 × 286.92 - Step 4: Simplify right side
433.62x = 186,285.68 - Step 5: Solve for x
x = 186,285.68/433.62 - Step 6: Final answer
x = 429.61
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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.