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Finding the Fourth Proportional to 1,098.78, 1,648.23 and 550.41

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Solution

The fourth proportional to 1,098.78, 1,648.23 and 550.41 is: 825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.78 : 1,648.23 = 550.41 : x
  2. Step 2: Convert to fraction form
    1,098.78/1,648.23 = 550.41/x
  3. Step 3: Cross multiply
    1,098.78x = 1,648.23 × 550.41
  4. Step 4: Simplify right side
    1,098.78x = 907,202.27
  5. Step 5: Solve for x
    x = 907,202.27/1,098.78
  6. Step 6: Final answer
    x = 825.65

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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.