Finding the Fourth Proportional to 1,166, 1,609.08 and 642.02
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Solution
The fourth proportional to 1,166, 1,609.08 and 642.02 is: 885.99
Step by Step Solution
- Step 1: Write the proportion equation
1,166 : 1,609.08 = 642.02 : x - Step 2: Convert to fraction form
1,166/1,609.08 = 642.02/x - Step 3: Cross multiply
1,166x = 1,609.08 × 642.02 - Step 4: Simplify right side
1,166x = 1,033,061.54 - Step 5: Solve for x
x = 1,033,061.54/1,166 - Step 6: Final answer
x = 885.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.