Finding the Fourth Proportional to 942.84, 1,414.26 and 293.63
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Solution
The fourth proportional to 942.84, 1,414.26 and 293.63 is: 440.44
Step by Step Solution
- Step 1: Write the proportion equation
942.84 : 1,414.26 = 293.63 : x - Step 2: Convert to fraction form
942.84/1,414.26 = 293.63/x - Step 3: Cross multiply
942.84x = 1,414.26 × 293.63 - Step 4: Simplify right side
942.84x = 415,262.09 - Step 5: Solve for x
x = 415,262.09/942.84 - Step 6: Final answer
x = 440.44
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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.