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Finding the Fourth Proportional to 667.61, 1,000.93 and 450.73

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Solution

The fourth proportional to 667.61, 1,000.93 and 450.73 is: 675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.61 : 1,000.93 = 450.73 : x
  2. Step 2: Convert to fraction form
    667.61/1,000.93 = 450.73/x
  3. Step 3: Cross multiply
    667.61x = 1,000.93 × 450.73
  4. Step 4: Simplify right side
    667.61x = 451,149.18
  5. Step 5: Solve for x
    x = 451,149.18/667.61
  6. Step 6: Final answer
    x = 675.77

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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.