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Finding the Fourth Proportional to 999.33, 1,498.78 and 512.11

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Solution

The fourth proportional to 999.33, 1,498.78 and 512.11 is: 768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.33 : 1,498.78 = 512.11 : x
  2. Step 2: Convert to fraction form
    999.33/1,498.78 = 512.11/x
  3. Step 3: Cross multiply
    999.33x = 1,498.78 × 512.11
  4. Step 4: Simplify right side
    999.33x = 767,540.23
  5. Step 5: Solve for x
    x = 767,540.23/999.33
  6. Step 6: Final answer
    x = 768.05

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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.