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Finding the Fourth Proportional to 999.11, 1,499.07 and 512.30

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Solution

The fourth proportional to 999.11, 1,499.07 and 512.30 is: 768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.11 : 1,499.07 = 512.30 : x
  2. Step 2: Convert to fraction form
    999.11/1,499.07 = 512.30/x
  3. Step 3: Cross multiply
    999.11x = 1,499.07 × 512.30
  4. Step 4: Simplify right side
    999.11x = 767,973.56
  5. Step 5: Solve for x
    x = 767,973.56/999.11
  6. Step 6: Final answer
    x = 768.66

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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.