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Finding the Fourth Proportional to 659.43, 989.19 and 190.89

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Solution

The fourth proportional to 659.43, 989.19 and 190.89 is: 286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.43 : 989.19 = 190.89 : x
  2. Step 2: Convert to fraction form
    659.43/989.19 = 190.89/x
  3. Step 3: Cross multiply
    659.43x = 989.19 × 190.89
  4. Step 4: Simplify right side
    659.43x = 188,826.48
  5. Step 5: Solve for x
    x = 188,826.48/659.43
  6. Step 6: Final answer
    x = 286.35

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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.