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Finding the Fourth Proportional to 659.57, 989.79 and 274.82

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Solution

The fourth proportional to 659.57, 989.79 and 274.82 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.57 : 989.79 = 274.82 : x
  2. Step 2: Convert to fraction form
    659.57/989.79 = 274.82/x
  3. Step 3: Cross multiply
    659.57x = 989.79 × 274.82
  4. Step 4: Simplify right side
    659.57x = 272,014.09
  5. Step 5: Solve for x
    x = 272,014.09/659.57
  6. Step 6: Final answer
    x = 412.41

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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.