Finding the Fourth Proportional to 470.99, 649.62 and 305.08
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Solution
The fourth proportional to 470.99, 649.62 and 305.08 is: 420.78
Step by Step Solution
- Step 1: Write the proportion equation
470.99 : 649.62 = 305.08 : x - Step 2: Convert to fraction form
470.99/649.62 = 305.08/x - Step 3: Cross multiply
470.99x = 649.62 × 305.08 - Step 4: Simplify right side
470.99x = 198,184.45 - Step 5: Solve for x
x = 198,184.45/470.99 - Step 6: Final answer
x = 420.78
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.