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Finding the Fourth Proportional to 667.38, 1,000.17 and 647.67

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Solution

The fourth proportional to 667.38, 1,000.17 and 647.67 is: 970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.38 : 1,000.17 = 647.67 : x
  2. Step 2: Convert to fraction form
    667.38/1,000.17 = 647.67/x
  3. Step 3: Cross multiply
    667.38x = 1,000.17 × 647.67
  4. Step 4: Simplify right side
    667.38x = 647,780.10
  5. Step 5: Solve for x
    x = 647,780.10/667.38
  6. Step 6: Final answer
    x = 970.63

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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.