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Finding the Fourth Proportional to 667.33, 999.78 and 492.07

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Solution

The fourth proportional to 667.33, 999.78 and 492.07 is: 737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.33 : 999.78 = 492.07 : x
  2. Step 2: Convert to fraction form
    667.33/999.78 = 492.07/x
  3. Step 3: Cross multiply
    667.33x = 999.78 × 492.07
  4. Step 4: Simplify right side
    667.33x = 491,954.29
  5. Step 5: Solve for x
    x = 491,954.29/667.33
  6. Step 6: Final answer
    x = 737.20

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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.