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Finding the Fourth Proportional to 597.38, 824.38 and 328.20

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Solution

The fourth proportional to 597.38, 824.38 and 328.20 is: 452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 824.38 = 328.20 : x
  2. Step 2: Convert to fraction form
    597.38/824.38 = 328.20/x
  3. Step 3: Cross multiply
    597.38x = 824.38 × 328.20
  4. Step 4: Simplify right side
    597.38x = 270,561.52
  5. Step 5: Solve for x
    x = 270,561.52/597.38
  6. Step 6: Final answer
    x = 452.91

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Double scale
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1.5x scale

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.