Finding the Fourth Proportional to 438.80, 646.14 and 438.80
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Solution
The fourth proportional to 438.80, 646.14 and 438.80 is: 646.14
Step by Step Solution
- Step 1: Write the proportion equation
438.80 : 646.14 = 438.80 : x - Step 2: Convert to fraction form
438.80/646.14 = 438.80/x - Step 3: Cross multiply
438.80x = 646.14 × 438.80 - Step 4: Simplify right side
438.80x = 283,526.23 - Step 5: Solve for x
x = 283,526.23/438.80 - Step 6: Final answer
x = 646.14
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.