Finding the Fourth Proportional to 785, 1,177.98 and 329
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Solution
The fourth proportional to 785, 1,177.98 and 329 is: 493.70
Step by Step Solution
- Step 1: Write the proportion equation
785 : 1,177.98 = 329 : x - Step 2: Convert to fraction form
785/1,177.98 = 329/x - Step 3: Cross multiply
785x = 1,177.98 × 329 - Step 4: Simplify right side
785x = 387,555.42 - Step 5: Solve for x
x = 387,555.42/785 - Step 6: Final answer
x = 493.70
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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.