Finding the Fourth Proportional to 862.14, 1,292.05 and 313.80
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Solution
The fourth proportional to 862.14, 1,292.05 and 313.80 is: 470.28
Step by Step Solution
- Step 1: Write the proportion equation
862.14 : 1,292.05 = 313.80 : x - Step 2: Convert to fraction form
862.14/1,292.05 = 313.80/x - Step 3: Cross multiply
862.14x = 1,292.05 × 313.80 - Step 4: Simplify right side
862.14x = 405,448.99 - Step 5: Solve for x
x = 405,448.99/862.14 - Step 6: Final answer
x = 470.28
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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.