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Finding the Fourth Proportional to 666.78, 1,000.13 and 204.52

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Solution

The fourth proportional to 666.78, 1,000.13 and 204.52 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.78 : 1,000.13 = 204.52 : x
  2. Step 2: Convert to fraction form
    666.78/1,000.13 = 204.52/x
  3. Step 3: Cross multiply
    666.78x = 1,000.13 × 204.52
  4. Step 4: Simplify right side
    666.78x = 204,540.56
  5. Step 5: Solve for x
    x = 204,540.56/666.78
  6. Step 6: Final answer
    x = 306.76

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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.