Finding the Fourth Proportional to 1,053.68, 1,580 and 323.08
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Solution
The fourth proportional to 1,053.68, 1,580 and 323.08 is: 484.46
Step by Step Solution
- Step 1: Write the proportion equation
1,053.68 : 1,580 = 323.08 : x - Step 2: Convert to fraction form
1,053.68/1,580 = 323.08/x - Step 3: Cross multiply
1,053.68x = 1,580 × 323.08 - Step 4: Simplify right side
1,053.68x = 510,466.40 - Step 5: Solve for x
x = 510,466.40/1,053.68 - Step 6: Final answer
x = 484.46
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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.