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Finding the Fourth Proportional to 1,632.97, 2,451.21 and 659.71

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Solution

The fourth proportional to 1,632.97, 2,451.21 and 659.71 is: 990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.97 : 2,451.21 = 659.71 : x
  2. Step 2: Convert to fraction form
    1,632.97/2,451.21 = 659.71/x
  3. Step 3: Cross multiply
    1,632.97x = 2,451.21 × 659.71
  4. Step 4: Simplify right side
    1,632.97x = 1,617,087.75
  5. Step 5: Solve for x
    x = 1,617,087.75/1,632.97
  6. Step 6: Final answer
    x = 990.27

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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.