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Finding the Fourth Proportional to 1,089.76, 1,634.96 and 659.68

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Solution

The fourth proportional to 1,089.76, 1,634.96 and 659.68 is: 989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.76 : 1,634.96 = 659.68 : x
  2. Step 2: Convert to fraction form
    1,089.76/1,634.96 = 659.68/x
  3. Step 3: Cross multiply
    1,089.76x = 1,634.96 × 659.68
  4. Step 4: Simplify right side
    1,089.76x = 1,078,550.41
  5. Step 5: Solve for x
    x = 1,078,550.41/1,089.76
  6. Step 6: Final answer
    x = 989.71

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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.