Finding the Fourth Proportional to 1,642.24, 2,462.88 and 616
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Solution
The fourth proportional to 1,642.24, 2,462.88 and 616 is: 923.82
Step by Step Solution
- Step 1: Write the proportion equation
1,642.24 : 2,462.88 = 616 : x - Step 2: Convert to fraction form
1,642.24/2,462.88 = 616/x - Step 3: Cross multiply
1,642.24x = 2,462.88 × 616 - Step 4: Simplify right side
1,642.24x = 1,517,134.08 - Step 5: Solve for x
x = 1,517,134.08/1,642.24 - Step 6: Final answer
x = 923.82
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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.