Finding the Fourth Proportional to 1,364, 2,046 and 452
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Solution
The fourth proportional to 1,364, 2,046 and 452 is: 678
Step by Step Solution
- Step 1: Write the proportion equation
1,364 : 2,046 = 452 : x - Step 2: Convert to fraction form
1,364/2,046 = 452/x - Step 3: Cross multiply
1,364x = 2,046 × 452 - Step 4: Simplify right side
1,364x = 924,792 - Step 5: Solve for x
x = 924,792/1,364 - Step 6: Final answer
x = 678
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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.