Finding the Fourth Proportional to 1,057.68, 1,586.34 and 288
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Solution
The fourth proportional to 1,057.68, 1,586.34 and 288 is: 431.95
Step by Step Solution
- Step 1: Write the proportion equation
1,057.68 : 1,586.34 = 288 : x - Step 2: Convert to fraction form
1,057.68/1,586.34 = 288/x - Step 3: Cross multiply
1,057.68x = 1,586.34 × 288 - Step 4: Simplify right side
1,057.68x = 456,865.92 - Step 5: Solve for x
x = 456,865.92/1,057.68 - Step 6: Final answer
x = 431.95
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.