Finding the Fourth Proportional to 975.26, 1,463.43 and 398
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Solution
The fourth proportional to 975.26, 1,463.43 and 398 is: 597.22
Step by Step Solution
- Step 1: Write the proportion equation
975.26 : 1,463.43 = 398 : x - Step 2: Convert to fraction form
975.26/1,463.43 = 398/x - Step 3: Cross multiply
975.26x = 1,463.43 × 398 - Step 4: Simplify right side
975.26x = 582,445.14 - Step 5: Solve for x
x = 582,445.14/975.26 - Step 6: Final answer
x = 597.22
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.