Finding the Fourth Proportional to 471.74, 707.62 and 163.68
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Solution
The fourth proportional to 471.74, 707.62 and 163.68 is: 245.52
Step by Step Solution
- Step 1: Write the proportion equation
471.74 : 707.62 = 163.68 : x - Step 2: Convert to fraction form
471.74/707.62 = 163.68/x - Step 3: Cross multiply
471.74x = 707.62 × 163.68 - Step 4: Simplify right side
471.74x = 115,823.24 - Step 5: Solve for x
x = 115,823.24/471.74 - Step 6: Final answer
x = 245.52
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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.