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Finding the Fourth Proportional to 999.37, 1,500.13 and 422.65

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Solution

The fourth proportional to 999.37, 1,500.13 and 422.65 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.37 : 1,500.13 = 422.65 : x
  2. Step 2: Convert to fraction form
    999.37/1,500.13 = 422.65/x
  3. Step 3: Cross multiply
    999.37x = 1,500.13 × 422.65
  4. Step 4: Simplify right side
    999.37x = 634,022.44
  5. Step 5: Solve for x
    x = 634,022.44/999.37
  6. Step 6: Final answer
    x = 634.43

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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.