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Finding the Fourth Proportional to 1,100.03, 1,648.40 and 1,072.85

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Solution

The fourth proportional to 1,100.03, 1,648.40 and 1,072.85 is: 1,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.03 : 1,648.40 = 1,072.85 : x
  2. Step 2: Convert to fraction form
    1,100.03/1,648.40 = 1,072.85/x
  3. Step 3: Cross multiply
    1,100.03x = 1,648.40 × 1,072.85
  4. Step 4: Simplify right side
    1,100.03x = 1,768,472.33
  5. Step 5: Solve for x
    x = 1,768,472.33/1,100.03
  6. Step 6: Final answer
    x = 1,607.67

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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.