Finding the Fourth Proportional to 1,378.88, 2,067.78 and 557.54
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Solution
The fourth proportional to 1,378.88, 2,067.78 and 557.54 is: 836.09
Step by Step Solution
- Step 1: Write the proportion equation
1,378.88 : 2,067.78 = 557.54 : x - Step 2: Convert to fraction form
1,378.88/2,067.78 = 557.54/x - Step 3: Cross multiply
1,378.88x = 2,067.78 × 557.54 - Step 4: Simplify right side
1,378.88x = 1,152,870.06 - Step 5: Solve for x
x = 1,152,870.06/1,378.88 - Step 6: Final answer
x = 836.09
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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.