Finding the Fourth Proportional to 1,550.18, 2,324.78 and 509.94
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Solution
The fourth proportional to 1,550.18, 2,324.78 and 509.94 is: 764.75
Step by Step Solution
- Step 1: Write the proportion equation
1,550.18 : 2,324.78 = 509.94 : x - Step 2: Convert to fraction form
1,550.18/2,324.78 = 509.94/x - Step 3: Cross multiply
1,550.18x = 2,324.78 × 509.94 - Step 4: Simplify right side
1,550.18x = 1,185,498.31 - Step 5: Solve for x
x = 1,185,498.31/1,550.18 - Step 6: Final answer
x = 764.75
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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.