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Finding the Fourth Proportional to 665.44, 996 and 611.20

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Solution

The fourth proportional to 665.44, 996 and 611.20 is: 914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 996 = 611.20 : x
  2. Step 2: Convert to fraction form
    665.44/996 = 611.20/x
  3. Step 3: Cross multiply
    665.44x = 996 × 611.20
  4. Step 4: Simplify right side
    665.44x = 608,755.20
  5. Step 5: Solve for x
    x = 608,755.20/665.44
  6. Step 6: Final answer
    x = 914.82

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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.