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Finding the Fourth Proportional to 1,171.92, 1,759.48 and 659.28

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Solution

The fourth proportional to 1,171.92, 1,759.48 and 659.28 is: 989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.92 : 1,759.48 = 659.28 : x
  2. Step 2: Convert to fraction form
    1,171.92/1,759.48 = 659.28/x
  3. Step 3: Cross multiply
    1,171.92x = 1,759.48 × 659.28
  4. Step 4: Simplify right side
    1,171.92x = 1,159,989.97
  5. Step 5: Solve for x
    x = 1,159,989.97/1,171.92
  6. Step 6: Final answer
    x = 989.82

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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.