Finding the Fourth Proportional to 1,585.40, 2,378 and 489.68
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Solution
The fourth proportional to 1,585.40, 2,378 and 489.68 is: 734.49
Step by Step Solution
- Step 1: Write the proportion equation
1,585.40 : 2,378 = 489.68 : x - Step 2: Convert to fraction form
1,585.40/2,378 = 489.68/x - Step 3: Cross multiply
1,585.40x = 2,378 × 489.68 - Step 4: Simplify right side
1,585.40x = 1,164,459.04 - Step 5: Solve for x
x = 1,164,459.04/1,585.40 - Step 6: Final answer
x = 734.49
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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.