Finding the Fourth Proportional to 874.24, 1,206 and 563.68
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Solution
The fourth proportional to 874.24, 1,206 and 563.68 is: 777.59
Step by Step Solution
- Step 1: Write the proportion equation
874.24 : 1,206 = 563.68 : x - Step 2: Convert to fraction form
874.24/1,206 = 563.68/x - Step 3: Cross multiply
874.24x = 1,206 × 563.68 - Step 4: Simplify right side
874.24x = 679,798.08 - Step 5: Solve for x
x = 679,798.08/874.24 - Step 6: Final answer
x = 777.59
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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.