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Finding the Fourth Proportional to 886.23, 1,223.72 and 571.65

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Solution

The fourth proportional to 886.23, 1,223.72 and 571.65 is: 789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.23 : 1,223.72 = 571.65 : x
  2. Step 2: Convert to fraction form
    886.23/1,223.72 = 571.65/x
  3. Step 3: Cross multiply
    886.23x = 1,223.72 × 571.65
  4. Step 4: Simplify right side
    886.23x = 699,536.68
  5. Step 5: Solve for x
    x = 699,536.68/886.23
  6. Step 6: Final answer
    x = 789.34

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1.5x scale

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.