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Finding the Fourth Proportional to 659.75, 989.64 and 197.54

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Solution

The fourth proportional to 659.75, 989.64 and 197.54 is: 296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.75 : 989.64 = 197.54 : x
  2. Step 2: Convert to fraction form
    659.75/989.64 = 197.54/x
  3. Step 3: Cross multiply
    659.75x = 989.64 × 197.54
  4. Step 4: Simplify right side
    659.75x = 195,491.01
  5. Step 5: Solve for x
    x = 195,491.01/659.75
  6. Step 6: Final answer
    x = 296.31

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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.