Finding the Fourth Proportional to 785.32, 1,083.78 and 436
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Solution
The fourth proportional to 785.32, 1,083.78 and 436 is: 601.70
Step by Step Solution
- Step 1: Write the proportion equation
785.32 : 1,083.78 = 436 : x - Step 2: Convert to fraction form
785.32/1,083.78 = 436/x - Step 3: Cross multiply
785.32x = 1,083.78 × 436 - Step 4: Simplify right side
785.32x = 472,528.08 - Step 5: Solve for x
x = 472,528.08/785.32 - Step 6: Final answer
x = 601.70
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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.