Finding the Fourth Proportional to 1,178.53, 1,767.86 and 437.98
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Solution
The fourth proportional to 1,178.53, 1,767.86 and 437.98 is: 656.99
Step by Step Solution
- Step 1: Write the proportion equation
1,178.53 : 1,767.86 = 437.98 : x - Step 2: Convert to fraction form
1,178.53/1,767.86 = 437.98/x - Step 3: Cross multiply
1,178.53x = 1,767.86 × 437.98 - Step 4: Simplify right side
1,178.53x = 774,287.32 - Step 5: Solve for x
x = 774,287.32/1,178.53 - Step 6: Final answer
x = 656.99
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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.