Finding the Fourth Proportional to 1,570.62, 2,355.06 and 840
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Solution
The fourth proportional to 1,570.62, 2,355.06 and 840 is: 1,259.53
Step by Step Solution
- Step 1: Write the proportion equation
1,570.62 : 2,355.06 = 840 : x - Step 2: Convert to fraction form
1,570.62/2,355.06 = 840/x - Step 3: Cross multiply
1,570.62x = 2,355.06 × 840 - Step 4: Simplify right side
1,570.62x = 1,978,250.40 - Step 5: Solve for x
x = 1,978,250.40/1,570.62 - Step 6: Final answer
x = 1,259.53
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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.