Finding the Fourth Proportional to 760.87, 1,141.31 and 213.07
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Solution
The fourth proportional to 760.87, 1,141.31 and 213.07 is: 319.60
Step by Step Solution
- Step 1: Write the proportion equation
760.87 : 1,141.31 = 213.07 : x - Step 2: Convert to fraction form
760.87/1,141.31 = 213.07/x - Step 3: Cross multiply
760.87x = 1,141.31 × 213.07 - Step 4: Simplify right side
760.87x = 243,177.54 - Step 5: Solve for x
x = 243,177.54/760.87 - Step 6: Final answer
x = 319.60
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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.