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Finding the Fourth Proportional to 659.76, 989.64 and 226.94

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Solution

The fourth proportional to 659.76, 989.64 and 226.94 is: 340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.76 : 989.64 = 226.94 : x
  2. Step 2: Convert to fraction form
    659.76/989.64 = 226.94/x
  3. Step 3: Cross multiply
    659.76x = 989.64 × 226.94
  4. Step 4: Simplify right side
    659.76x = 224,588.90
  5. Step 5: Solve for x
    x = 224,588.90/659.76
  6. Step 6: Final answer
    x = 340.41

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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.