Finding the Fourth Proportional to 433.74, 649.70 and 286.99
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Solution
The fourth proportional to 433.74, 649.70 and 286.99 is: 429.88
Step by Step Solution
- Step 1: Write the proportion equation
433.74 : 649.70 = 286.99 : x - Step 2: Convert to fraction form
433.74/649.70 = 286.99/x - Step 3: Cross multiply
433.74x = 649.70 × 286.99 - Step 4: Simplify right side
433.74x = 186,457.40 - Step 5: Solve for x
x = 186,457.40/433.74 - Step 6: Final answer
x = 429.88
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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.