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Finding the Fourth Proportional to 536.57, 804.91 and 189.83

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Solution

The fourth proportional to 536.57, 804.91 and 189.83 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.57 : 804.91 = 189.83 : x
  2. Step 2: Convert to fraction form
    536.57/804.91 = 189.83/x
  3. Step 3: Cross multiply
    536.57x = 804.91 × 189.83
  4. Step 4: Simplify right side
    536.57x = 152,792.04
  5. Step 5: Solve for x
    x = 152,792.04/536.57
  6. Step 6: Final answer
    x = 284.76

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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.