Finding the Fourth Proportional to 597.40, 824.26 and 358.20
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Solution
The fourth proportional to 597.40, 824.26 and 358.20 is: 494.23
Step by Step Solution
- Step 1: Write the proportion equation
597.40 : 824.26 = 358.20 : x - Step 2: Convert to fraction form
597.40/824.26 = 358.20/x - Step 3: Cross multiply
597.40x = 824.26 × 358.20 - Step 4: Simplify right side
597.40x = 295,248.14 - Step 5: Solve for x
x = 295,248.14/597.40 - Step 6: Final answer
x = 494.23
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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.