Finding the Fourth Proportional to 830.68, 1,146.18 and 520
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Solution
The fourth proportional to 830.68, 1,146.18 and 520 is: 717.50
Step by Step Solution
- Step 1: Write the proportion equation
830.68 : 1,146.18 = 520 : x - Step 2: Convert to fraction form
830.68/1,146.18 = 520/x - Step 3: Cross multiply
830.68x = 1,146.18 × 520 - Step 4: Simplify right side
830.68x = 596,013.60 - Step 5: Solve for x
x = 596,013.60/830.68 - Step 6: Final answer
x = 717.50
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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.