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Finding the Fourth Proportional to 2,232.40, 3,350.14 and 771.56

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Solution

The fourth proportional to 2,232.40, 3,350.14 and 771.56 is: 1,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.40 : 3,350.14 = 771.56 : x
  2. Step 2: Convert to fraction form
    2,232.40/3,350.14 = 771.56/x
  3. Step 3: Cross multiply
    2,232.40x = 3,350.14 × 771.56
  4. Step 4: Simplify right side
    2,232.40x = 2,584,834.02
  5. Step 5: Solve for x
    x = 2,584,834.02/2,232.40
  6. Step 6: Final answer
    x = 1,157.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.