Finding the Fourth Proportional to 719.23, 992.70 and 509.18
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Solution
The fourth proportional to 719.23, 992.70 and 509.18 is: 702.79
Step by Step Solution
- Step 1: Write the proportion equation
719.23 : 992.70 = 509.18 : x - Step 2: Convert to fraction form
719.23/992.70 = 509.18/x - Step 3: Cross multiply
719.23x = 992.70 × 509.18 - Step 4: Simplify right side
719.23x = 505,464.19 - Step 5: Solve for x
x = 505,464.19/719.23 - Step 6: Final answer
x = 702.79
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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.