Finding the Fourth Proportional to 1,065.49, 1,597.93 and 416.07
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Solution
The fourth proportional to 1,065.49, 1,597.93 and 416.07 is: 623.99
Step by Step Solution
- Step 1: Write the proportion equation
1,065.49 : 1,597.93 = 416.07 : x - Step 2: Convert to fraction form
1,065.49/1,597.93 = 416.07/x - Step 3: Cross multiply
1,065.49x = 1,597.93 × 416.07 - Step 4: Simplify right side
1,065.49x = 664,849.69 - Step 5: Solve for x
x = 664,849.69/1,065.49 - Step 6: Final answer
x = 623.99
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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.