Finding the Fourth Proportional to 1,012.50, 1,518.75 and 243
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Solution
The fourth proportional to 1,012.50, 1,518.75 and 243 is: 364.50
Step by Step Solution
- Step 1: Write the proportion equation
1,012.50 : 1,518.75 = 243 : x - Step 2: Convert to fraction form
1,012.50/1,518.75 = 243/x - Step 3: Cross multiply
1,012.50x = 1,518.75 × 243 - Step 4: Simplify right side
1,012.50x = 369,056.25 - Step 5: Solve for x
x = 369,056.25/1,012.50 - Step 6: Final answer
x = 364.50
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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.