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Finding the Fourth Proportional to 944.70, 1,286.21 and 941.78

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Solution

The fourth proportional to 944.70, 1,286.21 and 941.78 is: 1,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.70 : 1,286.21 = 941.78 : x
  2. Step 2: Convert to fraction form
    944.70/1,286.21 = 941.78/x
  3. Step 3: Cross multiply
    944.70x = 1,286.21 × 941.78
  4. Step 4: Simplify right side
    944.70x = 1,211,315.71
  5. Step 5: Solve for x
    x = 1,211,315.71/944.70
  6. Step 6: Final answer
    x = 1,282.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.