Finding the Fourth Proportional to 1,152.84, 1,730 and 422.35
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Solution
The fourth proportional to 1,152.84, 1,730 and 422.35 is: 633.80
Step by Step Solution
- Step 1: Write the proportion equation
1,152.84 : 1,730 = 422.35 : x - Step 2: Convert to fraction form
1,152.84/1,730 = 422.35/x - Step 3: Cross multiply
1,152.84x = 1,730 × 422.35 - Step 4: Simplify right side
1,152.84x = 730,665.50 - Step 5: Solve for x
x = 730,665.50/1,152.84 - Step 6: Final answer
x = 633.80
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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.