Finding the Fourth Proportional to 828.96, 1,242.08 and 584.99
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Solution
The fourth proportional to 828.96, 1,242.08 and 584.99 is: 876.51
Step by Step Solution
- Step 1: Write the proportion equation
828.96 : 1,242.08 = 584.99 : x - Step 2: Convert to fraction form
828.96/1,242.08 = 584.99/x - Step 3: Cross multiply
828.96x = 1,242.08 × 584.99 - Step 4: Simplify right side
828.96x = 726,595.24 - Step 5: Solve for x
x = 726,595.24/828.96 - Step 6: Final answer
x = 876.51
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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.