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Finding the Fourth Proportional to 999.18, 1,498.70 and 422

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Solution

The fourth proportional to 999.18, 1,498.70 and 422 is: 632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.18 : 1,498.70 = 422 : x
  2. Step 2: Convert to fraction form
    999.18/1,498.70 = 422/x
  3. Step 3: Cross multiply
    999.18x = 1,498.70 × 422
  4. Step 4: Simplify right side
    999.18x = 632,451.40
  5. Step 5: Solve for x
    x = 632,451.40/999.18
  6. Step 6: Final answer
    x = 632.97

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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.