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Finding the Fourth Proportional to 943.70, 1,414.86 and 475.46

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Solution

The fourth proportional to 943.70, 1,414.86 and 475.46 is: 712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.70 : 1,414.86 = 475.46 : x
  2. Step 2: Convert to fraction form
    943.70/1,414.86 = 475.46/x
  3. Step 3: Cross multiply
    943.70x = 1,414.86 × 475.46
  4. Step 4: Simplify right side
    943.70x = 672,706.39
  5. Step 5: Solve for x
    x = 672,706.39/943.70
  6. Step 6: Final answer
    x = 712.84

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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.