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Finding the Fourth Proportional to 704.94, 972.91 and 443.31

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Solution

The fourth proportional to 704.94, 972.91 and 443.31 is: 611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.94 : 972.91 = 443.31 : x
  2. Step 2: Convert to fraction form
    704.94/972.91 = 443.31/x
  3. Step 3: Cross multiply
    704.94x = 972.91 × 443.31
  4. Step 4: Simplify right side
    704.94x = 431,300.73
  5. Step 5: Solve for x
    x = 431,300.73/704.94
  6. Step 6: Final answer
    x = 611.83

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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.