Finding the Fourth Proportional to 771, 1,156.50 and 315
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Solution
The fourth proportional to 771, 1,156.50 and 315 is: 472.50
Step by Step Solution
- Step 1: Write the proportion equation
771 : 1,156.50 = 315 : x - Step 2: Convert to fraction form
771/1,156.50 = 315/x - Step 3: Cross multiply
771x = 1,156.50 × 315 - Step 4: Simplify right side
771x = 364,297.50 - Step 5: Solve for x
x = 364,297.50/771 - Step 6: Final answer
x = 472.50
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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.