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Finding the Fourth Proportional to 1,100.81, 1,648.60 and 904.44

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Solution

The fourth proportional to 1,100.81, 1,648.60 and 904.44 is: 1,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.81 : 1,648.60 = 904.44 : x
  2. Step 2: Convert to fraction form
    1,100.81/1,648.60 = 904.44/x
  3. Step 3: Cross multiply
    1,100.81x = 1,648.60 × 904.44
  4. Step 4: Simplify right side
    1,100.81x = 1,491,059.78
  5. Step 5: Solve for x
    x = 1,491,059.78/1,100.81
  6. Step 6: Final answer
    x = 1,354.51

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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.