Finding the Fourth Proportional to 1,188.58, 1,782.69 and 458.05
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Solution
The fourth proportional to 1,188.58, 1,782.69 and 458.05 is: 687.00
Step by Step Solution
- Step 1: Write the proportion equation
1,188.58 : 1,782.69 = 458.05 : x - Step 2: Convert to fraction form
1,188.58/1,782.69 = 458.05/x - Step 3: Cross multiply
1,188.58x = 1,782.69 × 458.05 - Step 4: Simplify right side
1,188.58x = 816,554.98 - Step 5: Solve for x
x = 816,554.98/1,188.58 - Step 6: Final answer
x = 687.00
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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.