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Finding the Fourth Proportional to 667.04, 1,000.65 and 204.73

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Solution

The fourth proportional to 667.04, 1,000.65 and 204.73 is: 307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.04 : 1,000.65 = 204.73 : x
  2. Step 2: Convert to fraction form
    667.04/1,000.65 = 204.73/x
  3. Step 3: Cross multiply
    667.04x = 1,000.65 × 204.73
  4. Step 4: Simplify right side
    667.04x = 204,861.34
  5. Step 5: Solve for x
    x = 204,861.34/667.04
  6. Step 6: Final answer
    x = 307.12

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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.