Finding the Fourth Proportional to 1,588.62, 2,382.99 and 492.99
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Solution
The fourth proportional to 1,588.62, 2,382.99 and 492.99 is: 739.50
Step by Step Solution
- Step 1: Write the proportion equation
1,588.62 : 2,382.99 = 492.99 : x - Step 2: Convert to fraction form
1,588.62/2,382.99 = 492.99/x - Step 3: Cross multiply
1,588.62x = 2,382.99 × 492.99 - Step 4: Simplify right side
1,588.62x = 1,174,790.24 - Step 5: Solve for x
x = 1,174,790.24/1,588.62 - Step 6: Final answer
x = 739.50
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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.