Finding the Fourth Proportional to 1,740, 2,609.61 and 507.09
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Solution
The fourth proportional to 1,740, 2,609.61 and 507.09 is: 760.52
Step by Step Solution
- Step 1: Write the proportion equation
1,740 : 2,609.61 = 507.09 : x - Step 2: Convert to fraction form
1,740/2,609.61 = 507.09/x - Step 3: Cross multiply
1,740x = 2,609.61 × 507.09 - Step 4: Simplify right side
1,740x = 1,323,307.13 - Step 5: Solve for x
x = 1,323,307.13/1,740 - Step 6: Final answer
x = 760.52
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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.