Finding the Fourth Proportional to 2,309.41, 3,464.16 and 578.05
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Solution
The fourth proportional to 2,309.41, 3,464.16 and 578.05 is: 867.09
Step by Step Solution
- Step 1: Write the proportion equation
2,309.41 : 3,464.16 = 578.05 : x - Step 2: Convert to fraction form
2,309.41/3,464.16 = 578.05/x - Step 3: Cross multiply
2,309.41x = 3,464.16 × 578.05 - Step 4: Simplify right side
2,309.41x = 2,002,457.69 - Step 5: Solve for x
x = 2,002,457.69/2,309.41 - Step 6: Final answer
x = 867.09
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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.