Finding the Fourth Proportional to 1,962, 2,942.55 and 574.99
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Solution
The fourth proportional to 1,962, 2,942.55 and 574.99 is: 862.35
Step by Step Solution
- Step 1: Write the proportion equation
1,962 : 2,942.55 = 574.99 : x - Step 2: Convert to fraction form
1,962/2,942.55 = 574.99/x - Step 3: Cross multiply
1,962x = 2,942.55 × 574.99 - Step 4: Simplify right side
1,962x = 1,691,929.47 - Step 5: Solve for x
x = 1,691,929.47/1,962 - Step 6: Final answer
x = 862.35
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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.