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Finding the Fourth Proportional to 667.08, 999.09 and 392.94

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Solution

The fourth proportional to 667.08, 999.09 and 392.94 is: 588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.08 : 999.09 = 392.94 : x
  2. Step 2: Convert to fraction form
    667.08/999.09 = 392.94/x
  3. Step 3: Cross multiply
    667.08x = 999.09 × 392.94
  4. Step 4: Simplify right side
    667.08x = 392,582.42
  5. Step 5: Solve for x
    x = 392,582.42/667.08
  6. Step 6: Final answer
    x = 588.51

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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.