Finding the Fourth Proportional to 1,281.71, 1,922.52 and 416
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Solution
The fourth proportional to 1,281.71, 1,922.52 and 416 is: 623.99
Step by Step Solution
- Step 1: Write the proportion equation
1,281.71 : 1,922.52 = 416 : x - Step 2: Convert to fraction form
1,281.71/1,922.52 = 416/x - Step 3: Cross multiply
1,281.71x = 1,922.52 × 416 - Step 4: Simplify right side
1,281.71x = 799,768.32 - Step 5: Solve for x
x = 799,768.32/1,281.71 - Step 6: Final answer
x = 623.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.