Finding the Fourth Proportional to 468, 645.84 and 312.78
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Solution
The fourth proportional to 468, 645.84 and 312.78 is: 431.64
Step by Step Solution
- Step 1: Write the proportion equation
468 : 645.84 = 312.78 : x - Step 2: Convert to fraction form
468/645.84 = 312.78/x - Step 3: Cross multiply
468x = 645.84 × 312.78 - Step 4: Simplify right side
468x = 202,005.84 - Step 5: Solve for x
x = 202,005.84/468 - Step 6: Final answer
x = 431.64
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.