Finding the Fourth Proportional to 1,705.94, 2,559.14 and 610.42
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Solution
The fourth proportional to 1,705.94, 2,559.14 and 610.42 is: 915.71
Step by Step Solution
- Step 1: Write the proportion equation
1,705.94 : 2,559.14 = 610.42 : x - Step 2: Convert to fraction form
1,705.94/2,559.14 = 610.42/x - Step 3: Cross multiply
1,705.94x = 2,559.14 × 610.42 - Step 4: Simplify right side
1,705.94x = 1,562,150.24 - Step 5: Solve for x
x = 1,562,150.24/1,705.94 - Step 6: Final answer
x = 915.71
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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.