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Finding the Fourth Proportional to 679.22, 1,013.09 and 658.71

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Solution

The fourth proportional to 679.22, 1,013.09 and 658.71 is: 982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.22 : 1,013.09 = 658.71 : x
  2. Step 2: Convert to fraction form
    679.22/1,013.09 = 658.71/x
  3. Step 3: Cross multiply
    679.22x = 1,013.09 × 658.71
  4. Step 4: Simplify right side
    679.22x = 667,332.51
  5. Step 5: Solve for x
    x = 667,332.51/679.22
  6. Step 6: Final answer
    x = 982.50

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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.