Finding the Fourth Proportional to 496.32, 684.64 and 312
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Solution
The fourth proportional to 496.32, 684.64 and 312 is: 430.38
Step by Step Solution
- Step 1: Write the proportion equation
496.32 : 684.64 = 312 : x - Step 2: Convert to fraction form
496.32/684.64 = 312/x - Step 3: Cross multiply
496.32x = 684.64 × 312 - Step 4: Simplify right side
496.32x = 213,607.68 - Step 5: Solve for x
x = 213,607.68/496.32 - Step 6: Final answer
x = 430.38
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.