Finding the Fourth Proportional to 1,083.68, 1,625.36 and 314
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Solution
The fourth proportional to 1,083.68, 1,625.36 and 314 is: 470.95
Step by Step Solution
- Step 1: Write the proportion equation
1,083.68 : 1,625.36 = 314 : x - Step 2: Convert to fraction form
1,083.68/1,625.36 = 314/x - Step 3: Cross multiply
1,083.68x = 1,625.36 × 314 - Step 4: Simplify right side
1,083.68x = 510,363.04 - Step 5: Solve for x
x = 510,363.04/1,083.68 - Step 6: Final answer
x = 470.95
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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.