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Finding the Fourth Proportional to 499.50, 690.26 and 381.38

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Solution

The fourth proportional to 499.50, 690.26 and 381.38 is: 527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 690.26 = 381.38 : x
  2. Step 2: Convert to fraction form
    499.50/690.26 = 381.38/x
  3. Step 3: Cross multiply
    499.50x = 690.26 × 381.38
  4. Step 4: Simplify right side
    499.50x = 263,246.00
  5. Step 5: Solve for x
    x = 263,246.00/499.50
  6. Step 6: Final answer
    x = 527.02

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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.