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Finding the Fourth Proportional to 717.50, 983.69 and 704.54

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Solution

The fourth proportional to 717.50, 983.69 and 704.54 is: 965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.50 : 983.69 = 704.54 : x
  2. Step 2: Convert to fraction form
    717.50/983.69 = 704.54/x
  3. Step 3: Cross multiply
    717.50x = 983.69 × 704.54
  4. Step 4: Simplify right side
    717.50x = 693,048.95
  5. Step 5: Solve for x
    x = 693,048.95/717.50
  6. Step 6: Final answer
    x = 965.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.