Finding the Fourth Proportional to 778.42, 1,074 and 542.08
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Solution
The fourth proportional to 778.42, 1,074 and 542.08 is: 747.92
Step by Step Solution
- Step 1: Write the proportion equation
778.42 : 1,074 = 542.08 : x - Step 2: Convert to fraction form
778.42/1,074 = 542.08/x - Step 3: Cross multiply
778.42x = 1,074 × 542.08 - Step 4: Simplify right side
778.42x = 582,193.92 - Step 5: Solve for x
x = 582,193.92/778.42 - Step 6: Final answer
x = 747.92
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.