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Finding the Fourth Proportional to 2,697.69, 4,046.52 and 696.38

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Solution

The fourth proportional to 2,697.69, 4,046.52 and 696.38 is: 1,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.69 : 4,046.52 = 696.38 : x
  2. Step 2: Convert to fraction form
    2,697.69/4,046.52 = 696.38/x
  3. Step 3: Cross multiply
    2,697.69x = 4,046.52 × 696.38
  4. Step 4: Simplify right side
    2,697.69x = 2,817,915.60
  5. Step 5: Solve for x
    x = 2,817,915.60/2,697.69
  6. Step 6: Final answer
    x = 1,044.57

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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.