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Finding the Fourth Proportional to 659.14, 982.01 and 628.18

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Solution

The fourth proportional to 659.14, 982.01 and 628.18 is: 935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.14 : 982.01 = 628.18 : x
  2. Step 2: Convert to fraction form
    659.14/982.01 = 628.18/x
  3. Step 3: Cross multiply
    659.14x = 982.01 × 628.18
  4. Step 4: Simplify right side
    659.14x = 616,879.04
  5. Step 5: Solve for x
    x = 616,879.04/659.14
  6. Step 6: Final answer
    x = 935.88

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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.