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Finding the Fourth Proportional to 886.24, 1,223.66 and 571.96

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Solution

The fourth proportional to 886.24, 1,223.66 and 571.96 is: 789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.24 : 1,223.66 = 571.96 : x
  2. Step 2: Convert to fraction form
    886.24/1,223.66 = 571.96/x
  3. Step 3: Cross multiply
    886.24x = 1,223.66 × 571.96
  4. Step 4: Simplify right side
    886.24x = 699,884.57
  5. Step 5: Solve for x
    x = 699,884.57/886.24
  6. Step 6: Final answer
    x = 789.72

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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.