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Finding the Fourth Proportional to 667.93, 999.39 and 462.90

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Solution

The fourth proportional to 667.93, 999.39 and 462.90 is: 692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.93 : 999.39 = 462.90 : x
  2. Step 2: Convert to fraction form
    667.93/999.39 = 462.90/x
  3. Step 3: Cross multiply
    667.93x = 999.39 × 462.90
  4. Step 4: Simplify right side
    667.93x = 462,617.63
  5. Step 5: Solve for x
    x = 462,617.63/667.93
  6. Step 6: Final answer
    x = 692.61

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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.