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Finding the Fourth Proportional to 667.64, 1,001.46 and 380.90

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Solution

The fourth proportional to 667.64, 1,001.46 and 380.90 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.64 : 1,001.46 = 380.90 : x
  2. Step 2: Convert to fraction form
    667.64/1,001.46 = 380.90/x
  3. Step 3: Cross multiply
    667.64x = 1,001.46 × 380.90
  4. Step 4: Simplify right side
    667.64x = 381,460.05
  5. Step 5: Solve for x
    x = 381,460.05/667.64
  6. Step 6: Final answer
    x = 571.35

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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.