Finding the Fourth Proportional to 1,025.16, 1,537.73 and 294.73
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Solution
The fourth proportional to 1,025.16, 1,537.73 and 294.73 is: 442.10
Step by Step Solution
- Step 1: Write the proportion equation
1,025.16 : 1,537.73 = 294.73 : x - Step 2: Convert to fraction form
1,025.16/1,537.73 = 294.73/x - Step 3: Cross multiply
1,025.16x = 1,537.73 × 294.73 - Step 4: Simplify right side
1,025.16x = 453,220.18 - Step 5: Solve for x
x = 453,220.18/1,025.16 - Step 6: Final answer
x = 442.10
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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.