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Finding the Fourth Proportional to 1,789.78, 2,683.82 and 557.21

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Solution

The fourth proportional to 1,789.78, 2,683.82 and 557.21 is: 835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.78 : 2,683.82 = 557.21 : x
  2. Step 2: Convert to fraction form
    1,789.78/2,683.82 = 557.21/x
  3. Step 3: Cross multiply
    1,789.78x = 2,683.82 × 557.21
  4. Step 4: Simplify right side
    1,789.78x = 1,495,435.14
  5. Step 5: Solve for x
    x = 1,495,435.14/1,789.78
  6. Step 6: Final answer
    x = 835.54

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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.