Finding the Fourth Proportional to 1,602.24, 2,403.60 and 576
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Solution
The fourth proportional to 1,602.24, 2,403.60 and 576 is: 864.09
Step by Step Solution
- Step 1: Write the proportion equation
1,602.24 : 2,403.60 = 576 : x - Step 2: Convert to fraction form
1,602.24/2,403.60 = 576/x - Step 3: Cross multiply
1,602.24x = 2,403.60 × 576 - Step 4: Simplify right side
1,602.24x = 1,384,473.60 - Step 5: Solve for x
x = 1,384,473.60/1,602.24 - Step 6: Final answer
x = 864.09
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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.