Finding the Fourth Proportional to 1,689.05, 2,533.84 and 456.50
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Solution
The fourth proportional to 1,689.05, 2,533.84 and 456.50 is: 684.82
Step by Step Solution
- Step 1: Write the proportion equation
1,689.05 : 2,533.84 = 456.50 : x - Step 2: Convert to fraction form
1,689.05/2,533.84 = 456.50/x - Step 3: Cross multiply
1,689.05x = 2,533.84 × 456.50 - Step 4: Simplify right side
1,689.05x = 1,156,703.15 - Step 5: Solve for x
x = 1,156,703.15/1,689.05 - Step 6: Final answer
x = 684.82
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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.