Finding the Fourth Proportional to 1,415.84, 2,122.16 and 550
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Solution
The fourth proportional to 1,415.84, 2,122.16 and 550 is: 824.38
Step by Step Solution
- Step 1: Write the proportion equation
1,415.84 : 2,122.16 = 550 : x - Step 2: Convert to fraction form
1,415.84/2,122.16 = 550/x - Step 3: Cross multiply
1,415.84x = 2,122.16 × 550 - Step 4: Simplify right side
1,415.84x = 1,167,188 - Step 5: Solve for x
x = 1,167,188/1,415.84 - Step 6: Final answer
x = 824.38
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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.