Finding the Fourth Proportional to 1,406.67, 2,109.85 and 482.05
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Solution
The fourth proportional to 1,406.67, 2,109.85 and 482.05 is: 723.02
Step by Step Solution
- Step 1: Write the proportion equation
1,406.67 : 2,109.85 = 482.05 : x - Step 2: Convert to fraction form
1,406.67/2,109.85 = 482.05/x - Step 3: Cross multiply
1,406.67x = 2,109.85 × 482.05 - Step 4: Simplify right side
1,406.67x = 1,017,054.62 - Step 5: Solve for x
x = 1,017,054.62/1,406.67 - Step 6: Final answer
x = 723.02
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.