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Finding the Fourth Proportional to 664.26, 997.84 and 404.40

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Solution

The fourth proportional to 664.26, 997.84 and 404.40 is: 607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.26 : 997.84 = 404.40 : x
  2. Step 2: Convert to fraction form
    664.26/997.84 = 404.40/x
  3. Step 3: Cross multiply
    664.26x = 997.84 × 404.40
  4. Step 4: Simplify right side
    664.26x = 403,526.50
  5. Step 5: Solve for x
    x = 403,526.50/664.26
  6. Step 6: Final answer
    x = 607.48

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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.