Finding the Fourth Proportional to 809.68, 1,212 and 577.84
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Solution
The fourth proportional to 809.68, 1,212 and 577.84 is: 864.96
Step by Step Solution
- Step 1: Write the proportion equation
809.68 : 1,212 = 577.84 : x - Step 2: Convert to fraction form
809.68/1,212 = 577.84/x - Step 3: Cross multiply
809.68x = 1,212 × 577.84 - Step 4: Simplify right side
809.68x = 700,342.08 - Step 5: Solve for x
x = 700,342.08/809.68 - Step 6: Final answer
x = 864.96
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.