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Finding the Fourth Proportional to 869.23, 1,200.83 and 571.18

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Solution

The fourth proportional to 869.23, 1,200.83 and 571.18 is: 789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.23 : 1,200.83 = 571.18 : x
  2. Step 2: Convert to fraction form
    869.23/1,200.83 = 571.18/x
  3. Step 3: Cross multiply
    869.23x = 1,200.83 × 571.18
  4. Step 4: Simplify right side
    869.23x = 685,890.08
  5. Step 5: Solve for x
    x = 685,890.08/869.23
  6. Step 6: Final answer
    x = 789.08

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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.