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Finding the Fourth Proportional to 679.46, 1,013.10 and 667.16

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Solution

The fourth proportional to 679.46, 1,013.10 and 667.16 is: 994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.46 : 1,013.10 = 667.16 : x
  2. Step 2: Convert to fraction form
    679.46/1,013.10 = 667.16/x
  3. Step 3: Cross multiply
    679.46x = 1,013.10 × 667.16
  4. Step 4: Simplify right side
    679.46x = 675,902.33
  5. Step 5: Solve for x
    x = 675,902.33/679.46
  6. Step 6: Final answer
    x = 994.76

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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.