Finding the Fourth Proportional to 734.66, 1,102 and 649.62
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Solution
The fourth proportional to 734.66, 1,102 and 649.62 is: 974.44
Step by Step Solution
- Step 1: Write the proportion equation
734.66 : 1,102 = 649.62 : x - Step 2: Convert to fraction form
734.66/1,102 = 649.62/x - Step 3: Cross multiply
734.66x = 1,102 × 649.62 - Step 4: Simplify right side
734.66x = 715,881.24 - Step 5: Solve for x
x = 715,881.24/734.66 - Step 6: Final answer
x = 974.44
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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.