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Finding the Fourth Proportional to 999.09, 1,497.25 and 511.11

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Solution

The fourth proportional to 999.09, 1,497.25 and 511.11 is: 765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.09 : 1,497.25 = 511.11 : x
  2. Step 2: Convert to fraction form
    999.09/1,497.25 = 511.11/x
  3. Step 3: Cross multiply
    999.09x = 1,497.25 × 511.11
  4. Step 4: Simplify right side
    999.09x = 765,259.45
  5. Step 5: Solve for x
    x = 765,259.45/999.09
  6. Step 6: Final answer
    x = 765.96

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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.