Finding the Fourth Proportional to 1,175.75, 1,762.34 and 589.82
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Solution
The fourth proportional to 1,175.75, 1,762.34 and 589.82 is: 884.09
Step by Step Solution
- Step 1: Write the proportion equation
1,175.75 : 1,762.34 = 589.82 : x - Step 2: Convert to fraction form
1,175.75/1,762.34 = 589.82/x - Step 3: Cross multiply
1,175.75x = 1,762.34 × 589.82 - Step 4: Simplify right side
1,175.75x = 1,039,463.38 - Step 5: Solve for x
x = 1,039,463.38/1,175.75 - Step 6: Final answer
x = 884.09
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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.