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Finding the Fourth Proportional to 619.25, 852 and 536.09

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Solution

The fourth proportional to 619.25, 852 and 536.09 is: 737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.25 : 852 = 536.09 : x
  2. Step 2: Convert to fraction form
    619.25/852 = 536.09/x
  3. Step 3: Cross multiply
    619.25x = 852 × 536.09
  4. Step 4: Simplify right side
    619.25x = 456,748.68
  5. Step 5: Solve for x
    x = 456,748.68/619.25
  6. Step 6: Final answer
    x = 737.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.