Finding the Fourth Proportional to 1,402.05, 2,102.86 and 580.17
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Solution
The fourth proportional to 1,402.05, 2,102.86 and 580.17 is: 870.17
Step by Step Solution
- Step 1: Write the proportion equation
1,402.05 : 2,102.86 = 580.17 : x - Step 2: Convert to fraction form
1,402.05/2,102.86 = 580.17/x - Step 3: Cross multiply
1,402.05x = 2,102.86 × 580.17 - Step 4: Simplify right side
1,402.05x = 1,220,016.29 - Step 5: Solve for x
x = 1,220,016.29/1,402.05 - Step 6: Final answer
x = 870.17
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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.