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Finding the Fourth Proportional to 499.66, 746.61 and 381.88

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Solution

The fourth proportional to 499.66, 746.61 and 381.88 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.66 : 746.61 = 381.88 : x
  2. Step 2: Convert to fraction form
    499.66/746.61 = 381.88/x
  3. Step 3: Cross multiply
    499.66x = 746.61 × 381.88
  4. Step 4: Simplify right side
    499.66x = 285,115.43
  5. Step 5: Solve for x
    x = 285,115.43/499.66
  6. Step 6: Final answer
    x = 570.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.