Finding the Fourth Proportional to 1,055.68, 1,583.34 and 286
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Solution
The fourth proportional to 1,055.68, 1,583.34 and 286 is: 428.95
Step by Step Solution
- Step 1: Write the proportion equation
1,055.68 : 1,583.34 = 286 : x - Step 2: Convert to fraction form
1,055.68/1,583.34 = 286/x - Step 3: Cross multiply
1,055.68x = 1,583.34 × 286 - Step 4: Simplify right side
1,055.68x = 452,835.24 - Step 5: Solve for x
x = 452,835.24/1,055.68 - Step 6: Final answer
x = 428.95
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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.