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Finding the Fourth Proportional to 820.17, 1,229.19 and 332.65

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Solution

The fourth proportional to 820.17, 1,229.19 and 332.65 is: 498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.17 : 1,229.19 = 332.65 : x
  2. Step 2: Convert to fraction form
    820.17/1,229.19 = 332.65/x
  3. Step 3: Cross multiply
    820.17x = 1,229.19 × 332.65
  4. Step 4: Simplify right side
    820.17x = 408,890.05
  5. Step 5: Solve for x
    x = 408,890.05/820.17
  6. Step 6: Final answer
    x = 498.54

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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.