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Finding the Fourth Proportional to 659.20, 989.28 and 274.56

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Solution

The fourth proportional to 659.20, 989.28 and 274.56 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.20 : 989.28 = 274.56 : x
  2. Step 2: Convert to fraction form
    659.20/989.28 = 274.56/x
  3. Step 3: Cross multiply
    659.20x = 989.28 × 274.56
  4. Step 4: Simplify right side
    659.20x = 271,616.72
  5. Step 5: Solve for x
    x = 271,616.72/659.20
  6. Step 6: Final answer
    x = 412.04

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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.