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Finding the Fourth Proportional to 391.46, 589.46 and 289.46

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Solution

The fourth proportional to 391.46, 589.46 and 289.46 is: 435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.46 : 589.46 = 289.46 : x
  2. Step 2: Convert to fraction form
    391.46/589.46 = 289.46/x
  3. Step 3: Cross multiply
    391.46x = 589.46 × 289.46
  4. Step 4: Simplify right side
    391.46x = 170,622.87
  5. Step 5: Solve for x
    x = 170,622.87/391.46
  6. Step 6: Final answer
    x = 435.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.