Finding the Fourth Proportional to 1,497.24, 2,244 and 522.18
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Solution
The fourth proportional to 1,497.24, 2,244 and 522.18 is: 782.62
Step by Step Solution
- Step 1: Write the proportion equation
1,497.24 : 2,244 = 522.18 : x - Step 2: Convert to fraction form
1,497.24/2,244 = 522.18/x - Step 3: Cross multiply
1,497.24x = 2,244 × 522.18 - Step 4: Simplify right side
1,497.24x = 1,171,771.92 - Step 5: Solve for x
x = 1,171,771.92/1,497.24 - Step 6: Final answer
x = 782.62
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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.