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Finding the Fourth Proportional to 1,789.38, 2,683.97 and 556.69

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Solution

The fourth proportional to 1,789.38, 2,683.97 and 556.69 is: 835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.38 : 2,683.97 = 556.69 : x
  2. Step 2: Convert to fraction form
    1,789.38/2,683.97 = 556.69/x
  3. Step 3: Cross multiply
    1,789.38x = 2,683.97 × 556.69
  4. Step 4: Simplify right side
    1,789.38x = 1,494,139.26
  5. Step 5: Solve for x
    x = 1,494,139.26/1,789.38
  6. Step 6: Final answer
    x = 835.01

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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.