Finding the Fourth Proportional to 776.50, 1,164.78 and 263.50
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Solution
The fourth proportional to 776.50, 1,164.78 and 263.50 is: 395.26
Step by Step Solution
- Step 1: Write the proportion equation
776.50 : 1,164.78 = 263.50 : x - Step 2: Convert to fraction form
776.50/1,164.78 = 263.50/x - Step 3: Cross multiply
776.50x = 1,164.78 × 263.50 - Step 4: Simplify right side
776.50x = 306,919.53 - Step 5: Solve for x
x = 306,919.53/776.50 - Step 6: Final answer
x = 395.26
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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.