Finding the Fourth Proportional to 1,031.75, 1,423.84 and 566
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Solution
The fourth proportional to 1,031.75, 1,423.84 and 566 is: 781.09
Step by Step Solution
- Step 1: Write the proportion equation
1,031.75 : 1,423.84 = 566 : x - Step 2: Convert to fraction form
1,031.75/1,423.84 = 566/x - Step 3: Cross multiply
1,031.75x = 1,423.84 × 566 - Step 4: Simplify right side
1,031.75x = 805,893.44 - Step 5: Solve for x
x = 805,893.44/1,031.75 - Step 6: Final answer
x = 781.09
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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.