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Finding the Fourth Proportional to 696.82, 1,043.43 and 513.94

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Solution

The fourth proportional to 696.82, 1,043.43 and 513.94 is: 769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.82 : 1,043.43 = 513.94 : x
  2. Step 2: Convert to fraction form
    696.82/1,043.43 = 513.94/x
  3. Step 3: Cross multiply
    696.82x = 1,043.43 × 513.94
  4. Step 4: Simplify right side
    696.82x = 536,260.41
  5. Step 5: Solve for x
    x = 536,260.41/696.82
  6. Step 6: Final answer
    x = 769.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.