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Finding the Fourth Proportional to 660.20, 988.38 and 442.60

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Solution

The fourth proportional to 660.20, 988.38 and 442.60 is: 662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.20 : 988.38 = 442.60 : x
  2. Step 2: Convert to fraction form
    660.20/988.38 = 442.60/x
  3. Step 3: Cross multiply
    660.20x = 988.38 × 442.60
  4. Step 4: Simplify right side
    660.20x = 437,456.99
  5. Step 5: Solve for x
    x = 437,456.99/660.20
  6. Step 6: Final answer
    x = 662.61

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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.