Finding the Fourth Proportional to 409.02, 612.99 and 382.02
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Solution
The fourth proportional to 409.02, 612.99 and 382.02 is: 572.53
Step by Step Solution
- Step 1: Write the proportion equation
409.02 : 612.99 = 382.02 : x - Step 2: Convert to fraction form
409.02/612.99 = 382.02/x - Step 3: Cross multiply
409.02x = 612.99 × 382.02 - Step 4: Simplify right side
409.02x = 234,174.44 - Step 5: Solve for x
x = 234,174.44/409.02 - Step 6: Final answer
x = 572.53
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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.