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Finding the Fourth Proportional to 665.92, 999.36 and 301.12

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Solution

The fourth proportional to 665.92, 999.36 and 301.12 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.92 : 999.36 = 301.12 : x
  2. Step 2: Convert to fraction form
    665.92/999.36 = 301.12/x
  3. Step 3: Cross multiply
    665.92x = 999.36 × 301.12
  4. Step 4: Simplify right side
    665.92x = 300,927.28
  5. Step 5: Solve for x
    x = 300,927.28/665.92
  6. Step 6: Final answer
    x = 451.90

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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.