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Finding the Fourth Proportional to 999.22, 1,498.82 and 421.70

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Solution

The fourth proportional to 999.22, 1,498.82 and 421.70 is: 632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.22 : 1,498.82 = 421.70 : x
  2. Step 2: Convert to fraction form
    999.22/1,498.82 = 421.70/x
  3. Step 3: Cross multiply
    999.22x = 1,498.82 × 421.70
  4. Step 4: Simplify right side
    999.22x = 632,052.39
  5. Step 5: Solve for x
    x = 632,052.39/999.22
  6. Step 6: Final answer
    x = 632.55

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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.