Finding the Fourth Proportional to 1,449.68, 2,174.58 and 584
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Solution
The fourth proportional to 1,449.68, 2,174.58 and 584 is: 876.02
Step by Step Solution
- Step 1: Write the proportion equation
1,449.68 : 2,174.58 = 584 : x - Step 2: Convert to fraction form
1,449.68/2,174.58 = 584/x - Step 3: Cross multiply
1,449.68x = 2,174.58 × 584 - Step 4: Simplify right side
1,449.68x = 1,269,954.72 - Step 5: Solve for x
x = 1,269,954.72/1,449.68 - Step 6: Final answer
x = 876.02
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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.