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Finding the Fourth Proportional to 1,100.21, 1,650.56 and 369.76

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Solution

The fourth proportional to 1,100.21, 1,650.56 and 369.76 is: 554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.21 : 1,650.56 = 369.76 : x
  2. Step 2: Convert to fraction form
    1,100.21/1,650.56 = 369.76/x
  3. Step 3: Cross multiply
    1,100.21x = 1,650.56 × 369.76
  4. Step 4: Simplify right side
    1,100.21x = 610,311.28
  5. Step 5: Solve for x
    x = 610,311.28/1,100.21
  6. Step 6: Final answer
    x = 554.73

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1.5x scale

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.