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Finding the Fourth Proportional to 999.67, 1,499.60 and 422.59

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Solution

The fourth proportional to 999.67, 1,499.60 and 422.59 is: 633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.67 : 1,499.60 = 422.59 : x
  2. Step 2: Convert to fraction form
    999.67/1,499.60 = 422.59/x
  3. Step 3: Cross multiply
    999.67x = 1,499.60 × 422.59
  4. Step 4: Simplify right side
    999.67x = 633,715.96
  5. Step 5: Solve for x
    x = 633,715.96/999.67
  6. Step 6: Final answer
    x = 633.93

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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.