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Finding the Fourth Proportional to 696.60, 959.85 and 648

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Solution

The fourth proportional to 696.60, 959.85 and 648 is: 892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.60 : 959.85 = 648 : x
  2. Step 2: Convert to fraction form
    696.60/959.85 = 648/x
  3. Step 3: Cross multiply
    696.60x = 959.85 × 648
  4. Step 4: Simplify right side
    696.60x = 621,982.80
  5. Step 5: Solve for x
    x = 621,982.80/696.60
  6. Step 6: Final answer
    x = 892.88

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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.