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Finding the Fourth Proportional to 660.34, 991.23 and 386.97

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Solution

The fourth proportional to 660.34, 991.23 and 386.97 is: 580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.34 : 991.23 = 386.97 : x
  2. Step 2: Convert to fraction form
    660.34/991.23 = 386.97/x
  3. Step 3: Cross multiply
    660.34x = 991.23 × 386.97
  4. Step 4: Simplify right side
    660.34x = 383,576.27
  5. Step 5: Solve for x
    x = 383,576.27/660.34
  6. Step 6: Final answer
    x = 580.88

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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.