Finding the Fourth Proportional to 563.54, 777.60 and 342.45
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Solution
The fourth proportional to 563.54, 777.60 and 342.45 is: 472.53
Step by Step Solution
- Step 1: Write the proportion equation
563.54 : 777.60 = 342.45 : x - Step 2: Convert to fraction form
563.54/777.60 = 342.45/x - Step 3: Cross multiply
563.54x = 777.60 × 342.45 - Step 4: Simplify right side
563.54x = 266,289.12 - Step 5: Solve for x
x = 266,289.12/563.54 - Step 6: Final answer
x = 472.53
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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.