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Finding the Fourth Proportional to 1,100.20, 1,649.68 and 369.60

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Solution

The fourth proportional to 1,100.20, 1,649.68 and 369.60 is: 554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.20 : 1,649.68 = 369.60 : x
  2. Step 2: Convert to fraction form
    1,100.20/1,649.68 = 369.60/x
  3. Step 3: Cross multiply
    1,100.20x = 1,649.68 × 369.60
  4. Step 4: Simplify right side
    1,100.20x = 609,721.73
  5. Step 5: Solve for x
    x = 609,721.73/1,100.20
  6. Step 6: Final answer
    x = 554.19

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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.