Finding the Fourth Proportional to 71.59, 98.77 and 56.99
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Solution
The fourth proportional to 71.59, 98.77 and 56.99 is: 78.63
Step by Step Solution
- Step 1: Write the proportion equation
71.59 : 98.77 = 56.99 : x - Step 2: Convert to fraction form
71.59/98.77 = 56.99/x - Step 3: Cross multiply
71.59x = 98.77 × 56.99 - Step 4: Simplify right side
71.59x = 5,628.90 - Step 5: Solve for x
x = 5,628.90/71.59 - Step 6: Final answer
x = 78.63
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.