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Finding the Fourth Proportional to 536.82, 739.11 and 488.22

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Solution

The fourth proportional to 536.82, 739.11 and 488.22 is: 672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.82 : 739.11 = 488.22 : x
  2. Step 2: Convert to fraction form
    536.82/739.11 = 488.22/x
  3. Step 3: Cross multiply
    536.82x = 739.11 × 488.22
  4. Step 4: Simplify right side
    536.82x = 360,848.28
  5. Step 5: Solve for x
    x = 360,848.28/536.82
  6. Step 6: Final answer
    x = 672.20

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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.