Finding the Fourth Proportional to 509.70, 760.26 and 475.68
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Solution
The fourth proportional to 509.70, 760.26 and 475.68 is: 709.52
Step by Step Solution
- Step 1: Write the proportion equation
509.70 : 760.26 = 475.68 : x - Step 2: Convert to fraction form
509.70/760.26 = 475.68/x - Step 3: Cross multiply
509.70x = 760.26 × 475.68 - Step 4: Simplify right side
509.70x = 361,640.48 - Step 5: Solve for x
x = 361,640.48/509.70 - Step 6: Final answer
x = 709.52
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.