Finding the Fourth Proportional to 470.09, 648.75 and 283.70
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Solution
The fourth proportional to 470.09, 648.75 and 283.70 is: 391.52
Step by Step Solution
- Step 1: Write the proportion equation
470.09 : 648.75 = 283.70 : x - Step 2: Convert to fraction form
470.09/648.75 = 283.70/x - Step 3: Cross multiply
470.09x = 648.75 × 283.70 - Step 4: Simplify right side
470.09x = 184,047.13 - Step 5: Solve for x
x = 184,047.13/470.09 - Step 6: Final answer
x = 391.52
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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.