Finding the Fourth Proportional to 998.13, 1,497.09 and 470.91
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Solution
The fourth proportional to 998.13, 1,497.09 and 470.91 is: 706.32
Step by Step Solution
- Step 1: Write the proportion equation
998.13 : 1,497.09 = 470.91 : x - Step 2: Convert to fraction form
998.13/1,497.09 = 470.91/x - Step 3: Cross multiply
998.13x = 1,497.09 × 470.91 - Step 4: Simplify right side
998.13x = 704,996.42 - Step 5: Solve for x
x = 704,996.42/998.13 - Step 6: Final answer
x = 706.32
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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.