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Finding the Fourth Proportional to 820.65, 1,132.49 and 447.62

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Solution

The fourth proportional to 820.65, 1,132.49 and 447.62 is: 617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.65 : 1,132.49 = 447.62 : x
  2. Step 2: Convert to fraction form
    820.65/1,132.49 = 447.62/x
  3. Step 3: Cross multiply
    820.65x = 1,132.49 × 447.62
  4. Step 4: Simplify right side
    820.65x = 506,922.94
  5. Step 5: Solve for x
    x = 506,922.94/820.65
  6. Step 6: Final answer
    x = 617.71

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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.