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Finding the Fourth Proportional to 704.20, 971.78 and 389.46

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Solution

The fourth proportional to 704.20, 971.78 and 389.46 is: 537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.20 : 971.78 = 389.46 : x
  2. Step 2: Convert to fraction form
    704.20/971.78 = 389.46/x
  3. Step 3: Cross multiply
    704.20x = 971.78 × 389.46
  4. Step 4: Simplify right side
    704.20x = 378,469.44
  5. Step 5: Solve for x
    x = 378,469.44/704.20
  6. Step 6: Final answer
    x = 537.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.