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Finding the Fourth Proportional to 999.92, 1,500.06 and 422.84

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Solution

The fourth proportional to 999.92, 1,500.06 and 422.84 is: 634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.92 : 1,500.06 = 422.84 : x
  2. Step 2: Convert to fraction form
    999.92/1,500.06 = 422.84/x
  3. Step 3: Cross multiply
    999.92x = 1,500.06 × 422.84
  4. Step 4: Simplify right side
    999.92x = 634,285.37
  5. Step 5: Solve for x
    x = 634,285.37/999.92
  6. Step 6: Final answer
    x = 634.34

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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.