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Finding the Fourth Proportional to 704.50, 972.20 and 389.75

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Solution

The fourth proportional to 704.50, 972.20 and 389.75 is: 537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.50 : 972.20 = 389.75 : x
  2. Step 2: Convert to fraction form
    704.50/972.20 = 389.75/x
  3. Step 3: Cross multiply
    704.50x = 972.20 × 389.75
  4. Step 4: Simplify right side
    704.50x = 378,911.06
  5. Step 5: Solve for x
    x = 378,911.06/704.50
  6. Step 6: Final answer
    x = 537.85

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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.