Finding the Fourth Proportional to 1,440.08, 2,160.44 and 414
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Solution
The fourth proportional to 1,440.08, 2,160.44 and 414 is: 621.09
Step by Step Solution
- Step 1: Write the proportion equation
1,440.08 : 2,160.44 = 414 : x - Step 2: Convert to fraction form
1,440.08/2,160.44 = 414/x - Step 3: Cross multiply
1,440.08x = 2,160.44 × 414 - Step 4: Simplify right side
1,440.08x = 894,422.16 - Step 5: Solve for x
x = 894,422.16/1,440.08 - Step 6: Final answer
x = 621.09
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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.