Finding the Fourth Proportional to 523.06, 720.34 and 420.09
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Solution
The fourth proportional to 523.06, 720.34 and 420.09 is: 578.53
Step by Step Solution
- Step 1: Write the proportion equation
523.06 : 720.34 = 420.09 : x - Step 2: Convert to fraction form
523.06/720.34 = 420.09/x - Step 3: Cross multiply
523.06x = 720.34 × 420.09 - Step 4: Simplify right side
523.06x = 302,606.24 - Step 5: Solve for x
x = 302,606.24/523.06 - Step 6: Final answer
x = 578.53
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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.