Finding the Fourth Proportional to 900, 1,242.12 and 589.68
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Solution
The fourth proportional to 900, 1,242.12 and 589.68 is: 813.84
Step by Step Solution
- Step 1: Write the proportion equation
900 : 1,242.12 = 589.68 : x - Step 2: Convert to fraction form
900/1,242.12 = 589.68/x - Step 3: Cross multiply
900x = 1,242.12 × 589.68 - Step 4: Simplify right side
900x = 732,453.32 - Step 5: Solve for x
x = 732,453.32/900 - Step 6: Final answer
x = 813.84
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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.