Finding the Fourth Proportional to 1,400.14, 2,098.84 and 522
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Solution
The fourth proportional to 1,400.14, 2,098.84 and 522 is: 782.49
Step by Step Solution
- Step 1: Write the proportion equation
1,400.14 : 2,098.84 = 522 : x - Step 2: Convert to fraction form
1,400.14/2,098.84 = 522/x - Step 3: Cross multiply
1,400.14x = 2,098.84 × 522 - Step 4: Simplify right side
1,400.14x = 1,095,594.48 - Step 5: Solve for x
x = 1,095,594.48/1,400.14 - Step 6: Final answer
x = 782.49
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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.