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Finding the Fourth Proportional to 654.65, 981.84 and 381.27

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Solution

The fourth proportional to 654.65, 981.84 and 381.27 is: 571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.65 : 981.84 = 381.27 : x
  2. Step 2: Convert to fraction form
    654.65/981.84 = 381.27/x
  3. Step 3: Cross multiply
    654.65x = 981.84 × 381.27
  4. Step 4: Simplify right side
    654.65x = 374,346.14
  5. Step 5: Solve for x
    x = 374,346.14/654.65
  6. Step 6: Final answer
    x = 571.83

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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.