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Finding the Fourth Proportional to 659.43, 983.30 and 633.47

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Solution

The fourth proportional to 659.43, 983.30 and 633.47 is: 944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.43 : 983.30 = 633.47 : x
  2. Step 2: Convert to fraction form
    659.43/983.30 = 633.47/x
  3. Step 3: Cross multiply
    659.43x = 983.30 × 633.47
  4. Step 4: Simplify right side
    659.43x = 622,882.97
  5. Step 5: Solve for x
    x = 622,882.97/659.43
  6. Step 6: Final answer
    x = 944.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.