Finding the Fourth Proportional to 1,311.15, 1,966.86 and 580.62
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Solution
The fourth proportional to 1,311.15, 1,966.86 and 580.62 is: 870.99
Step by Step Solution
- Step 1: Write the proportion equation
1,311.15 : 1,966.86 = 580.62 : x - Step 2: Convert to fraction form
1,311.15/1,966.86 = 580.62/x - Step 3: Cross multiply
1,311.15x = 1,966.86 × 580.62 - Step 4: Simplify right side
1,311.15x = 1,141,998.25 - Step 5: Solve for x
x = 1,141,998.25/1,311.15 - Step 6: Final answer
x = 870.99
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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.