Finding the Fourth Proportional to 1,580.49, 2,370 and 484.62
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Solution
The fourth proportional to 1,580.49, 2,370 and 484.62 is: 726.70
Step by Step Solution
- Step 1: Write the proportion equation
1,580.49 : 2,370 = 484.62 : x - Step 2: Convert to fraction form
1,580.49/2,370 = 484.62/x - Step 3: Cross multiply
1,580.49x = 2,370 × 484.62 - Step 4: Simplify right side
1,580.49x = 1,148,549.40 - Step 5: Solve for x
x = 1,148,549.40/1,580.49 - Step 6: Final answer
x = 726.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.