Finding the Fourth Proportional to 809.65, 1,214.74 and 664.99
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Solution
The fourth proportional to 809.65, 1,214.74 and 664.99 is: 997.70
Step by Step Solution
- Step 1: Write the proportion equation
809.65 : 1,214.74 = 664.99 : x - Step 2: Convert to fraction form
809.65/1,214.74 = 664.99/x - Step 3: Cross multiply
809.65x = 1,214.74 × 664.99 - Step 4: Simplify right side
809.65x = 807,789.95 - Step 5: Solve for x
x = 807,789.95/809.65 - Step 6: Final answer
x = 997.70
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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.