Finding the Fourth Proportional to 1,179.77, 1,769.45 and 313.88
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Solution
The fourth proportional to 1,179.77, 1,769.45 and 313.88 is: 470.76
Step by Step Solution
- Step 1: Write the proportion equation
1,179.77 : 1,769.45 = 313.88 : x - Step 2: Convert to fraction form
1,179.77/1,769.45 = 313.88/x - Step 3: Cross multiply
1,179.77x = 1,769.45 × 313.88 - Step 4: Simplify right side
1,179.77x = 555,384.55 - Step 5: Solve for x
x = 555,384.55/1,179.77 - Step 6: Final answer
x = 470.76
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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.