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Finding the Fourth Proportional to 444.68, 667.01 and 411.87

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Solution

The fourth proportional to 444.68, 667.01 and 411.87 is: 617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.68 : 667.01 = 411.87 : x
  2. Step 2: Convert to fraction form
    444.68/667.01 = 411.87/x
  3. Step 3: Cross multiply
    444.68x = 667.01 × 411.87
  4. Step 4: Simplify right side
    444.68x = 274,719.35
  5. Step 5: Solve for x
    x = 274,719.35/444.68
  6. Step 6: Final answer
    x = 617.80

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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.