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Finding the Fourth Proportional to 620.26, 853.84 and 536.88

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Solution

The fourth proportional to 620.26, 853.84 and 536.88 is: 739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.26 : 853.84 = 536.88 : x
  2. Step 2: Convert to fraction form
    620.26/853.84 = 536.88/x
  3. Step 3: Cross multiply
    620.26x = 853.84 × 536.88
  4. Step 4: Simplify right side
    620.26x = 458,408.69
  5. Step 5: Solve for x
    x = 458,408.69/620.26
  6. Step 6: Final answer
    x = 739.06

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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.