Finding the Fourth Proportional to 1,003.14, 1,504.79 and 272.71
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Solution
The fourth proportional to 1,003.14, 1,504.79 and 272.71 is: 409.09
Step by Step Solution
- Step 1: Write the proportion equation
1,003.14 : 1,504.79 = 272.71 : x - Step 2: Convert to fraction form
1,003.14/1,504.79 = 272.71/x - Step 3: Cross multiply
1,003.14x = 1,504.79 × 272.71 - Step 4: Simplify right side
1,003.14x = 410,371.28 - Step 5: Solve for x
x = 410,371.28/1,003.14 - Step 6: Final answer
x = 409.09
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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.