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Finding the Fourth Proportional to 412.29, 617.88 and 289.56

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Solution

The fourth proportional to 412.29, 617.88 and 289.56 is: 433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 617.88 = 289.56 : x
  2. Step 2: Convert to fraction form
    412.29/617.88 = 289.56/x
  3. Step 3: Cross multiply
    412.29x = 617.88 × 289.56
  4. Step 4: Simplify right side
    412.29x = 178,913.33
  5. Step 5: Solve for x
    x = 178,913.33/412.29
  6. Step 6: Final answer
    x = 433.95

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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.