Finding the Fourth Proportional to 430.60, 645.24 and 286.08
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Solution
The fourth proportional to 430.60, 645.24 and 286.08 is: 428.68
Step by Step Solution
- Step 1: Write the proportion equation
430.60 : 645.24 = 286.08 : x - Step 2: Convert to fraction form
430.60/645.24 = 286.08/x - Step 3: Cross multiply
430.60x = 645.24 × 286.08 - Step 4: Simplify right side
430.60x = 184,590.26 - Step 5: Solve for x
x = 184,590.26/430.60 - Step 6: Final answer
x = 428.68
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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.