Finding the Fourth Proportional to 998.08, 1,377.36 and 584
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Solution
The fourth proportional to 998.08, 1,377.36 and 584 is: 805.93
Step by Step Solution
- Step 1: Write the proportion equation
998.08 : 1,377.36 = 584 : x - Step 2: Convert to fraction form
998.08/1,377.36 = 584/x - Step 3: Cross multiply
998.08x = 1,377.36 × 584 - Step 4: Simplify right side
998.08x = 804,378.24 - Step 5: Solve for x
x = 804,378.24/998.08 - Step 6: Final answer
x = 805.93
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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.