Finding the Fourth Proportional to 1,424.08, 2,136.12 and 398
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Solution
The fourth proportional to 1,424.08, 2,136.12 and 398 is: 597
Step by Step Solution
- Step 1: Write the proportion equation
1,424.08 : 2,136.12 = 398 : x - Step 2: Convert to fraction form
1,424.08/2,136.12 = 398/x - Step 3: Cross multiply
1,424.08x = 2,136.12 × 398 - Step 4: Simplify right side
1,424.08x = 850,175.76 - Step 5: Solve for x
x = 850,175.76/1,424.08 - Step 6: Final answer
x = 597
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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.