Finding the Fourth Proportional to 1,204.10, 1,661.40 and 706.62
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Solution
The fourth proportional to 1,204.10, 1,661.40 and 706.62 is: 974.99
Step by Step Solution
- Step 1: Write the proportion equation
1,204.10 : 1,661.40 = 706.62 : x - Step 2: Convert to fraction form
1,204.10/1,661.40 = 706.62/x - Step 3: Cross multiply
1,204.10x = 1,661.40 × 706.62 - Step 4: Simplify right side
1,204.10x = 1,173,978.47 - Step 5: Solve for x
x = 1,173,978.47/1,204.10 - Step 6: Final answer
x = 974.99
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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.