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Finding the Fourth Proportional to 536.80, 804.72 and 446.24

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Solution

The fourth proportional to 536.80, 804.72 and 446.24 is: 668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 804.72 = 446.24 : x
  2. Step 2: Convert to fraction form
    536.80/804.72 = 446.24/x
  3. Step 3: Cross multiply
    536.80x = 804.72 × 446.24
  4. Step 4: Simplify right side
    536.80x = 359,098.25
  5. Step 5: Solve for x
    x = 359,098.25/536.80
  6. Step 6: Final answer
    x = 668.96

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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.