Finding the Fourth Proportional to 1,505.24, 2,077.12 and 842.07
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Solution
The fourth proportional to 1,505.24, 2,077.12 and 842.07 is: 1,161.99
Step by Step Solution
- Step 1: Write the proportion equation
1,505.24 : 2,077.12 = 842.07 : x - Step 2: Convert to fraction form
1,505.24/2,077.12 = 842.07/x - Step 3: Cross multiply
1,505.24x = 2,077.12 × 842.07 - Step 4: Simplify right side
1,505.24x = 1,749,080.44 - Step 5: Solve for x
x = 1,749,080.44/1,505.24 - Step 6: Final answer
x = 1,161.99
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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.