Finding the Fourth Proportional to 1,200.42, 1,656.09 and 780.66
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Solution
The fourth proportional to 1,200.42, 1,656.09 and 780.66 is: 1,076.99
Step by Step Solution
- Step 1: Write the proportion equation
1,200.42 : 1,656.09 = 780.66 : x - Step 2: Convert to fraction form
1,200.42/1,656.09 = 780.66/x - Step 3: Cross multiply
1,200.42x = 1,656.09 × 780.66 - Step 4: Simplify right side
1,200.42x = 1,292,843.22 - Step 5: Solve for x
x = 1,292,843.22/1,200.42 - Step 6: Final answer
x = 1,076.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.