Finding the Fourth Proportional to 1,215.98, 1,678.43 and 823.00
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Solution
The fourth proportional to 1,215.98, 1,678.43 and 823.00 is: 1,135.99
Step by Step Solution
- Step 1: Write the proportion equation
1,215.98 : 1,678.43 = 823.00 : x - Step 2: Convert to fraction form
1,215.98/1,678.43 = 823.00/x - Step 3: Cross multiply
1,215.98x = 1,678.43 × 823.00 - Step 4: Simplify right side
1,215.98x = 1,381,335.38 - Step 5: Solve for x
x = 1,381,335.38/1,215.98 - Step 6: Final answer
x = 1,135.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.