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Finding the Fourth Proportional to 536.60, 806.12 and 445.48

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Solution

The fourth proportional to 536.60, 806.12 and 445.48 is: 669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.60 : 806.12 = 445.48 : x
  2. Step 2: Convert to fraction form
    536.60/806.12 = 445.48/x
  3. Step 3: Cross multiply
    536.60x = 806.12 × 445.48
  4. Step 4: Simplify right side
    536.60x = 359,110.34
  5. Step 5: Solve for x
    x = 359,110.34/536.60
  6. Step 6: Final answer
    x = 669.23

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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.