Finding the Fourth Proportional to 1,742.31, 2,612.71 and 556.09
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Solution
The fourth proportional to 1,742.31, 2,612.71 and 556.09 is: 833.89
Step by Step Solution
- Step 1: Write the proportion equation
1,742.31 : 2,612.71 = 556.09 : x - Step 2: Convert to fraction form
1,742.31/2,612.71 = 556.09/x - Step 3: Cross multiply
1,742.31x = 2,612.71 × 556.09 - Step 4: Simplify right side
1,742.31x = 1,452,900.29 - Step 5: Solve for x
x = 1,452,900.29/1,742.31 - Step 6: Final answer
x = 833.89
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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.