Finding the Fourth Proportional to 1,582.08, 2,374.08 and 556
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Solution
The fourth proportional to 1,582.08, 2,374.08 and 556 is: 834.34
Step by Step Solution
- Step 1: Write the proportion equation
1,582.08 : 2,374.08 = 556 : x - Step 2: Convert to fraction form
1,582.08/2,374.08 = 556/x - Step 3: Cross multiply
1,582.08x = 2,374.08 × 556 - Step 4: Simplify right side
1,582.08x = 1,319,988.48 - Step 5: Solve for x
x = 1,319,988.48/1,582.08 - Step 6: Final answer
x = 834.34
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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.