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Finding the Fourth Proportional to 685.14, 1,029.33 and 674.34

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Solution

The fourth proportional to 685.14, 1,029.33 and 674.34 is: 1,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.14 : 1,029.33 = 674.34 : x
  2. Step 2: Convert to fraction form
    685.14/1,029.33 = 674.34/x
  3. Step 3: Cross multiply
    685.14x = 1,029.33 × 674.34
  4. Step 4: Simplify right side
    685.14x = 694,118.39
  5. Step 5: Solve for x
    x = 694,118.39/685.14
  6. Step 6: Final answer
    x = 1,013.10

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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.