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Finding the Fourth Proportional to 1,194.99, 1,792.18 and 536.50

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Solution

The fourth proportional to 1,194.99, 1,792.18 and 536.50 is: 804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.99 : 1,792.18 = 536.50 : x
  2. Step 2: Convert to fraction form
    1,194.99/1,792.18 = 536.50/x
  3. Step 3: Cross multiply
    1,194.99x = 1,792.18 × 536.50
  4. Step 4: Simplify right side
    1,194.99x = 961,504.57
  5. Step 5: Solve for x
    x = 961,504.57/1,194.99
  6. Step 6: Final answer
    x = 804.61

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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.