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Finding the Fourth Proportional to 667.82, 999.30 and 424.82

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Solution

The fourth proportional to 667.82, 999.30 and 424.82 is: 635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.82 : 999.30 = 424.82 : x
  2. Step 2: Convert to fraction form
    667.82/999.30 = 424.82/x
  3. Step 3: Cross multiply
    667.82x = 999.30 × 424.82
  4. Step 4: Simplify right side
    667.82x = 424,522.63
  5. Step 5: Solve for x
    x = 424,522.63/667.82
  6. Step 6: Final answer
    x = 635.68

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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.