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Finding the Fourth Proportional to 868.38, 1,190.28 and 856.23

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Solution

The fourth proportional to 868.38, 1,190.28 and 856.23 is: 1,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.38 : 1,190.28 = 856.23 : x
  2. Step 2: Convert to fraction form
    868.38/1,190.28 = 856.23/x
  3. Step 3: Cross multiply
    868.38x = 1,190.28 × 856.23
  4. Step 4: Simplify right side
    868.38x = 1,019,153.44
  5. Step 5: Solve for x
    x = 1,019,153.44/868.38
  6. Step 6: Final answer
    x = 1,173.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.