Finding the Fourth Proportional to 1,078.02, 1,616.88 and 348.09
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Solution
The fourth proportional to 1,078.02, 1,616.88 and 348.09 is: 522.09
Step by Step Solution
- Step 1: Write the proportion equation
1,078.02 : 1,616.88 = 348.09 : x - Step 2: Convert to fraction form
1,078.02/1,616.88 = 348.09/x - Step 3: Cross multiply
1,078.02x = 1,616.88 × 348.09 - Step 4: Simplify right side
1,078.02x = 562,819.76 - Step 5: Solve for x
x = 562,819.76/1,078.02 - Step 6: Final answer
x = 522.09
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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.