Finding the Fourth Proportional to 1,422.87, 2,135.27 and 498.44
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Solution
The fourth proportional to 1,422.87, 2,135.27 and 498.44 is: 747.99
Step by Step Solution
- Step 1: Write the proportion equation
1,422.87 : 2,135.27 = 498.44 : x - Step 2: Convert to fraction form
1,422.87/2,135.27 = 498.44/x - Step 3: Cross multiply
1,422.87x = 2,135.27 × 498.44 - Step 4: Simplify right side
1,422.87x = 1,064,290.81 - Step 5: Solve for x
x = 1,064,290.81/1,422.87 - Step 6: Final answer
x = 747.99
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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.