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Finding the Fourth Proportional to 868.69, 1,198.83 and 536.86

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Solution

The fourth proportional to 868.69, 1,198.83 and 536.86 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.69 : 1,198.83 = 536.86 : x
  2. Step 2: Convert to fraction form
    868.69/1,198.83 = 536.86/x
  3. Step 3: Cross multiply
    868.69x = 1,198.83 × 536.86
  4. Step 4: Simplify right side
    868.69x = 643,603.87
  5. Step 5: Solve for x
    x = 643,603.87/868.69
  6. Step 6: Final answer
    x = 740.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.