Finding the Fourth Proportional to 420.34, 584.09 and 415.84
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Solution
The fourth proportional to 420.34, 584.09 and 415.84 is: 577.84
Step by Step Solution
- Step 1: Write the proportion equation
420.34 : 584.09 = 415.84 : x - Step 2: Convert to fraction form
420.34/584.09 = 415.84/x - Step 3: Cross multiply
420.34x = 584.09 × 415.84 - Step 4: Simplify right side
420.34x = 242,887.99 - Step 5: Solve for x
x = 242,887.99/420.34 - Step 6: Final answer
x = 577.84
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.