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Finding the Fourth Proportional to 768.43, 1,059.23 and 704.87

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Solution

The fourth proportional to 768.43, 1,059.23 and 704.87 is: 971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.43 : 1,059.23 = 704.87 : x
  2. Step 2: Convert to fraction form
    768.43/1,059.23 = 704.87/x
  3. Step 3: Cross multiply
    768.43x = 1,059.23 × 704.87
  4. Step 4: Simplify right side
    768.43x = 746,619.45
  5. Step 5: Solve for x
    x = 746,619.45/768.43
  6. Step 6: Final answer
    x = 971.62

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1.5x scale

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.