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Finding the Fourth Proportional to 667.08, 1,000.61 and 513.27

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Solution

The fourth proportional to 667.08, 1,000.61 and 513.27 is: 769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.08 : 1,000.61 = 513.27 : x
  2. Step 2: Convert to fraction form
    667.08/1,000.61 = 513.27/x
  3. Step 3: Cross multiply
    667.08x = 1,000.61 × 513.27
  4. Step 4: Simplify right side
    667.08x = 513,580.53
  5. Step 5: Solve for x
    x = 513,580.53/667.08
  6. Step 6: Final answer
    x = 769.89

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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.