Finding the Fourth Proportional to 1,484, 2,226 and 458
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Solution
The fourth proportional to 1,484, 2,226 and 458 is: 687
Step by Step Solution
- Step 1: Write the proportion equation
1,484 : 2,226 = 458 : x - Step 2: Convert to fraction form
1,484/2,226 = 458/x - Step 3: Cross multiply
1,484x = 2,226 × 458 - Step 4: Simplify right side
1,484x = 1,019,508 - Step 5: Solve for x
x = 1,019,508/1,484 - Step 6: Final answer
x = 687
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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.