Finding the Fourth Proportional to 735.90, 1,014.14 and 539.46
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Solution
The fourth proportional to 735.90, 1,014.14 and 539.46 is: 743.43
Step by Step Solution
- Step 1: Write the proportion equation
735.90 : 1,014.14 = 539.46 : x - Step 2: Convert to fraction form
735.90/1,014.14 = 539.46/x - Step 3: Cross multiply
735.90x = 1,014.14 × 539.46 - Step 4: Simplify right side
735.90x = 547,087.96 - Step 5: Solve for x
x = 547,087.96/735.90 - Step 6: Final answer
x = 743.43
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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.