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Finding the Fourth Proportional to 500.78, 690.82 and 323.68

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Solution

The fourth proportional to 500.78, 690.82 and 323.68 is: 446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.78 : 690.82 = 323.68 : x
  2. Step 2: Convert to fraction form
    500.78/690.82 = 323.68/x
  3. Step 3: Cross multiply
    500.78x = 690.82 × 323.68
  4. Step 4: Simplify right side
    500.78x = 223,604.62
  5. Step 5: Solve for x
    x = 223,604.62/500.78
  6. Step 6: Final answer
    x = 446.51

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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.