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Finding the Fourth Proportional to 736.20, 1,105.20 and 552.15

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Solution

The fourth proportional to 736.20, 1,105.20 and 552.15 is: 828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.20 : 1,105.20 = 552.15 : x
  2. Step 2: Convert to fraction form
    736.20/1,105.20 = 552.15/x
  3. Step 3: Cross multiply
    736.20x = 1,105.20 × 552.15
  4. Step 4: Simplify right side
    736.20x = 610,236.18
  5. Step 5: Solve for x
    x = 610,236.18/736.20
  6. Step 6: Final answer
    x = 828.90

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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.