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Finding the Fourth Proportional to 536.36, 808.22 and 447.08

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Solution

The fourth proportional to 536.36, 808.22 and 447.08 is: 673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.36 : 808.22 = 447.08 : x
  2. Step 2: Convert to fraction form
    536.36/808.22 = 447.08/x
  3. Step 3: Cross multiply
    536.36x = 808.22 × 447.08
  4. Step 4: Simplify right side
    536.36x = 361,339.00
  5. Step 5: Solve for x
    x = 361,339.00/536.36
  6. Step 6: Final answer
    x = 673.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.