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Finding the Fourth Proportional to 1,101.46, 1,650.38 and 667.30

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Solution

The fourth proportional to 1,101.46, 1,650.38 and 667.30 is: 999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.46 : 1,650.38 = 667.30 : x
  2. Step 2: Convert to fraction form
    1,101.46/1,650.38 = 667.30/x
  3. Step 3: Cross multiply
    1,101.46x = 1,650.38 × 667.30
  4. Step 4: Simplify right side
    1,101.46x = 1,101,298.57
  5. Step 5: Solve for x
    x = 1,101,298.57/1,101.46
  6. Step 6: Final answer
    x = 999.85

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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.