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Finding the Fourth Proportional to 536.22, 806.76 and 445.50

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Solution

The fourth proportional to 536.22, 806.76 and 445.50 is: 670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.22 : 806.76 = 445.50 : x
  2. Step 2: Convert to fraction form
    536.22/806.76 = 445.50/x
  3. Step 3: Cross multiply
    536.22x = 806.76 × 445.50
  4. Step 4: Simplify right side
    536.22x = 359,411.58
  5. Step 5: Solve for x
    x = 359,411.58/536.22
  6. Step 6: Final answer
    x = 670.27

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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.