Finding the Fourth Proportional to 509.63, 703.70 and 399.68
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Solution
The fourth proportional to 509.63, 703.70 and 399.68 is: 551.88
Step by Step Solution
- Step 1: Write the proportion equation
509.63 : 703.70 = 399.68 : x - Step 2: Convert to fraction form
509.63/703.70 = 399.68/x - Step 3: Cross multiply
509.63x = 703.70 × 399.68 - Step 4: Simplify right side
509.63x = 281,249.30 - Step 5: Solve for x
x = 281,249.30/509.63 - Step 6: Final answer
x = 551.88
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.