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Finding the Fourth Proportional to 665.44, 997.38 and 352.24

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Solution

The fourth proportional to 665.44, 997.38 and 352.24 is: 527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 997.38 = 352.24 : x
  2. Step 2: Convert to fraction form
    665.44/997.38 = 352.24/x
  3. Step 3: Cross multiply
    665.44x = 997.38 × 352.24
  4. Step 4: Simplify right side
    665.44x = 351,317.13
  5. Step 5: Solve for x
    x = 351,317.13/665.44
  6. Step 6: Final answer
    x = 527.95

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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.