Finding the Fourth Proportional to 511.74, 767.63 and 165.09
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Solution
The fourth proportional to 511.74, 767.63 and 165.09 is: 247.64
Step by Step Solution
- Step 1: Write the proportion equation
511.74 : 767.63 = 165.09 : x - Step 2: Convert to fraction form
511.74/767.63 = 165.09/x - Step 3: Cross multiply
511.74x = 767.63 × 165.09 - Step 4: Simplify right side
511.74x = 126,727.21 - Step 5: Solve for x
x = 126,727.21/511.74 - Step 6: Final answer
x = 247.64
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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.