Finding the Fourth Proportional to 688.52, 1,033.07 and 414.81
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Solution
The fourth proportional to 688.52, 1,033.07 and 414.81 is: 622.38
Step by Step Solution
- Step 1: Write the proportion equation
688.52 : 1,033.07 = 414.81 : x - Step 2: Convert to fraction form
688.52/1,033.07 = 414.81/x - Step 3: Cross multiply
688.52x = 1,033.07 × 414.81 - Step 4: Simplify right side
688.52x = 428,525.69 - Step 5: Solve for x
x = 428,525.69/688.52 - Step 6: Final answer
x = 622.38
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.