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Finding the Fourth Proportional to 685.97, 1,029.05 and 223.63

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Solution

The fourth proportional to 685.97, 1,029.05 and 223.63 is: 335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 1,029.05 = 223.63 : x
  2. Step 2: Convert to fraction form
    685.97/1,029.05 = 223.63/x
  3. Step 3: Cross multiply
    685.97x = 1,029.05 × 223.63
  4. Step 4: Simplify right side
    685.97x = 230,126.49
  5. Step 5: Solve for x
    x = 230,126.49/685.97
  6. Step 6: Final answer
    x = 335.48

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1.5x scale

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.