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Finding the Fourth Proportional to 667.34, 1,000.03 and 419.95

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Solution

The fourth proportional to 667.34, 1,000.03 and 419.95 is: 629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.34 : 1,000.03 = 419.95 : x
  2. Step 2: Convert to fraction form
    667.34/1,000.03 = 419.95/x
  3. Step 3: Cross multiply
    667.34x = 1,000.03 × 419.95
  4. Step 4: Simplify right side
    667.34x = 419,962.60
  5. Step 5: Solve for x
    x = 419,962.60/667.34
  6. Step 6: Final answer
    x = 629.31

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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.