Finding the Fourth Proportional to 827.04, 1,239.84 and 462
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Solution
The fourth proportional to 827.04, 1,239.84 and 462 is: 692.60
Step by Step Solution
- Step 1: Write the proportion equation
827.04 : 1,239.84 = 462 : x - Step 2: Convert to fraction form
827.04/1,239.84 = 462/x - Step 3: Cross multiply
827.04x = 1,239.84 × 462 - Step 4: Simplify right side
827.04x = 572,806.08 - Step 5: Solve for x
x = 572,806.08/827.04 - Step 6: Final answer
x = 692.60
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.