Finding the Fourth Proportional to 1,423.14, 2,134.89 and 498.62
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Solution
The fourth proportional to 1,423.14, 2,134.89 and 498.62 is: 748.00
Step by Step Solution
- Step 1: Write the proportion equation
1,423.14 : 2,134.89 = 498.62 : x - Step 2: Convert to fraction form
1,423.14/2,134.89 = 498.62/x - Step 3: Cross multiply
1,423.14x = 2,134.89 × 498.62 - Step 4: Simplify right side
1,423.14x = 1,064,504.19 - Step 5: Solve for x
x = 1,064,504.19/1,423.14 - Step 6: Final answer
x = 748.00
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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.