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Finding the Fourth Proportional to 414.13, 617.81 and 384.67

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Solution

The fourth proportional to 414.13, 617.81 and 384.67 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.13 : 617.81 = 384.67 : x
  2. Step 2: Convert to fraction form
    414.13/617.81 = 384.67/x
  3. Step 3: Cross multiply
    414.13x = 617.81 × 384.67
  4. Step 4: Simplify right side
    414.13x = 237,652.97
  5. Step 5: Solve for x
    x = 237,652.97/414.13
  6. Step 6: Final answer
    x = 573.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.