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Finding the Fourth Proportional to 1,099.26, 1,648.41 and 551.34

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Solution

The fourth proportional to 1,099.26, 1,648.41 and 551.34 is: 826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.26 : 1,648.41 = 551.34 : x
  2. Step 2: Convert to fraction form
    1,099.26/1,648.41 = 551.34/x
  3. Step 3: Cross multiply
    1,099.26x = 1,648.41 × 551.34
  4. Step 4: Simplify right side
    1,099.26x = 908,834.37
  5. Step 5: Solve for x
    x = 908,834.37/1,099.26
  6. Step 6: Final answer
    x = 826.77

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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.